HELP: More than 10,000 spam email in one afternoon

Hi there - at around 1pm this afternoon, I began receiving an endless amount of spam email. Each email was coming in from a different sender. It was continuous and has been endless since. I've received over 13,000 spam emails today alone. I can't use my email account. It froze up my phone. It's taken over my account.  If nothing can be done to stop this, I want my account closed IMMEDIATELY! I've provided a screen shot of what my account looks like.