I agree with you Raj. We imagine Nuclear devices of something as big as the Hiroshima - Nagasaki bombs (In terms of physical size, not yeild)
Nuclear devices fall under 2 categories 1.Strategic nuclear weapons (with 100 times more destructive force than 1945 atom bombs)
2.Tactical nuclear weapons (with a yield of about 10-15 kilotons).. these would be as deadly as Hiroshima which had a yield of 13 kilotons of TNT and was Uranium 235 based (not very efficient fuel).
The number of total weapons on earth could be much higher than we imagine !
At the time of Cuban missile crisis, Russia had about 3500 nuclear weapons.. and US had over 28,000 nuclear weapons. Imagine the stockpile all the countries have accumulated in these 45 years !
US has currently taken a task of dismantling old weapons and making new more efficient weapons. As per time.com, US has about 12000 strategic weapons deployed on warheads, and about 6000 as backup.