Houses will be standing empty, in some cases open. Cars will be sitting in driveways, parking lots, some on highways or veered off the road with the keys still in them. Bank accounts in most cases will probably stay as they are, except in cases where a spouse/partner is left behind, or where payments are automatically taken out. In those cases, they will likely be emptied or overdrawn until it is found that their owners are gone (letters/phone calls unanswered).
I can see how widespread looting could occur. People will be looking for friends and loved ones, and once the realization hits (that it was the Rapture), I think that is when the real looting will start -- panicked searches for money, valuables, clothes, food, maybe even Bibles and Rapture/Trib-related materials. It's possible that similar looting could occur at businesses known to be owned by Christians and at churches whose entire congregations are gone.
I don't know what, if any, role the government might play in this. I could see the possibility of the government accessing the bank accounts of Raptured people "in the interest of the nation," maybe even seizing firearms "in the interest of national security."
Icebear, you are correct, I believe, about life insurance, etc. If I remember correctly, a missing person must be missing for 7 years before the life insurance will pay out. Why the number 7 years and who decided that, I don't know, but like you, I find it very interesting.
"Oir is leatsa an rioghachd, agus an cumhachd, agus a gloir, gu siorraidh, Amen." ("For Thine is the kingdom, and the power, and the glory, forever, Amen" -- Scots Gaelic)