I would check with the unemployment office, as rules vary from place to place. My first instinct would say whatever you averaged over the last 3-6 months.
if I am filing for unemployment and worked 60 hours some weeks should I put 60 or the standard 40 full time?
Depending on your state, it doesn't matter how many hours you worked. They base your unemployment benefits by how much you earned over the last four quarters of a year that you worked. The more you earned, the better benefits you get. Matter not the hours.
I believe you would put in your typical number of hours. I also believe you will be able to claim overtime elsewhere on the form.