Far more than half of the world population of humans would die if all the birds go up, and technological civilization would most likely simply be over because the infrastructure needed to do energy extraction would have been destroyed. North America and Eurasia would be pretty much wiped out between strikes and fallout/climate shifting, and the global south would be devastated by climactic changes.
Whether it’d be a reset to a permanent pre-industrial Graeber style communism or it’d be a population bottleneck that results in human extinction, it certainly would not be just people moving on with their lives.
Sad to know that the nuclear weapons Mao was aware of were astronomically weaker and less numerous than the ones harbored today.
I don't know whether Italians would survive tho.
Hmm I'm not so sure. If you look at this historical stockpile chart: https://en.wikipedia.org/wiki/Historical_nuclear_weapons_stockpiles_and_nuclear_tests_by_country it's possible the arsenal was bigger in 1957 than today. Also, by this point the US was fielding nukes with yields greater than 10 megatons. Such large yields aren't used anymore except by China IIRC.
Nuclear war now would probably kill hundreds of millions. 80s would be absolutely apocalyptic. Not so sure about 1957, but half the human population might be right. 
Weapon yields are usually inversely proportional to accuracy. One of the primary roles of an ICBM is to take out the other country’s ICBMs, which are (largely) housed underground in armored concrete tubes. The closer you get to hitting the target, the less of an explosion is needed to reliably take out the weapon stored there. A number of weapons today are dial-a-yield, where the yield can be set from a relatively low to a medium explosion. The Soviets generally had more powerful warheads than the US, because their targeting accuracy was much worse. They could build great rockets and lenses but they were terrible at electronics.
However, you still have the problem with likely escalation and all of the Winner: None scenarios from the end of Wargames, even with low-yield weapons. They may in fact make nuclear war more likely if having a low yield weapon that can be used tactically makes it more likely to be used.
The problem is that, if there is an exchange between two nuclear superpowers, the ICBMs become “use them or lose them.” Sea launched missiles from the kinds of subs we’re talking about here have very short flight times - the subs are for the most part silent and can set up directly off the other country’s coast. Those could be used to devastate the land-based ICBMs, after which that country would no longer have the deterrent of a full-force counter-attack.
Up through the 60s, people were still talking about the possibility of fighting and winning an all-out nuclear war. It’s generally seen as impossible today. You might be able to have a limited exchange between India and Pakistan as long as the superpowers don’t get involved, but you’d still be talking about potentially hundreds of millions dead and the end of both countries. NK might get away with firing one, but they’d get hit so hard in return with such an overwhelming conventional weapons attack that the country would not survive.
An interesting question is what should a country do if deterrence fails? If all of the sudden the US has 3500 inbound nuclear missiles and knows that if it doesn’t launch right now no counterattack or response will be possible. It’s already a dead certainty that the US will cease to exist as an entity and would itself be looking at potentially hundreds of millions of deaths from primary, secondary (radiation, etc) and tertiary (infrastructure disruption) effects. You can launch several thousand weapons in response, but at that point it’s just vengeance. You can’t save your country anymore. You can only make sure you take the other side with you, causing tens to hundreds of millions more deaths, and not just in the country you’re counterattacking.
Anyway, that’s why it’s important to keep nuclear weapons technology secret, and why I’m pretty confident Russia will not use a nuclear weapon in its war on Ukraine, even if they’re making no progress or even losing conventionally.
Yes, if every missile was sent to a city to cause maximum death (countervalue) then it could. But more likely a lot of the missiles would be sent to military targets (counterforce) leaving fewer for civilian bombings. So a nuclear war between any of the big three nuclear powers would likely kill hundreds of millions, and maybe billions but not sure especially since that would depend on the after effects.
ovah here! Madon!