In reply to GridNorth:
>My understanding is that in the case of a nuclear bomb all electronic records would be wiped clean
An EMP blast has a limited range.
If you're close enough to be affected, you'd probably be more worried about the nearby mushroom cloud.
As for data security, banks are quite good at it. As well as all the online data, there will still be backups taken each night and kept in a vault. You can buy space in ex coldwar nuclear bunkers for just this purpose. (You can rent space in Greenham common, for example.)
It's also usual practice to have 'hot standby' data centers. All the data from data center 1 is mirrored in real time to data center 2 (or indeed multiple data centers). The golden rule for disaster recovery sites is: don't locate them in the same place as your primary site. The backup data center(s) can be in a bunker, in another country, on the other side of the planet.