What you need then, is something like the Electro Harmonix 45000 https://www.youtube.com/watch?v=tHuUJdEEBLg
A lot of the current loopers use Memory Cards, so yes, they have a lot of storage capability. My Jamman has 6.5 hours worth of memory.
Many loopers also have USB ports, so you can back up your files to computer, or transfer files from your computer to your looper.
Thanks Harry...appreciate it