Is it possible to use hundreds of Android devices with the same google account?

We have developed a App that uses GCM push, that seems that needs Google Play Services (Google account).

Customer has 100-200 devices, it it possible to use the same google account in all devices? Gmail will be inactivated, and buy apps to Market will be disallowed.

Aditional info: We have proposed Google for Work, but Customer is not interested at this moment