Stamp multiple PDFs at the same time

Hi All

I'm fairly new to the whole Adobe software and was wondering if there was a way to use the stamp (and to annotate) on multiple open PDFs at the same time?

Our business has gone digital/paperless quite rapidly, and we have tens, sometimes hundreds of PDF invoices that we need to stamp as PAID (using a custom made stamp) and then write the date of the payment by the stamp.

At the moment I am opening a single PDF, stamping and dating, then saving and closing it. Repeat 1 billion times, which is quite time consuming!

Does anyone know of a quicker way to do this? I've looked it in the community chat but the closest thing I can find is stamping multiple pages within one PDF, which isnt quite what I'm looking for.

I'm on PC using Windows 10 if that's applicable

Many thanks!!