In addition to Kirill - CloudBusiness LLC's post, you can export the customer's information to MS Excel. Then, re-import to edit multiple customers. I'll help you with the steps.
Click Sales, and then click Customers.
Click the Export icon beside the Print icon.
An MS Excel Spreadsheet will open, edit the customer's information and then Save.
Once you're done, go back to your QuickBooks account and then click Gear.
Click Import Data under Tools.
Click Customers. Then, click Browse to locate the saved MS Excel file.
Click Next and then Map your data correctly. Click Next.
Before importing, un-checked the customers that has no changes to avoid duplicate entries.
This solution doesn't actually work, QBO won't let you override data for a customer that already exists in the system. See screenshot from help article.
Unless I'm missing something? The error message that fires is:
"We didn't import some of your data because it's already in QuickBooks. If you still want to import it, change the info in the highlighted fields and try again.", with the highlighted field being my customer names.