The limit is space, really. Well, that and money. If you're willing to pay, you can probably convince your utility to hook you up to three phase power, which is typically reserved for industrial use.

If you want to stay with your normal residential circuit, in the US they're commonly 100 or 150A. 200A isn't uncommon, but you might have to pay for an upgrade.

That leaves you with 200A*240V=480kW minus whatever you need for normal house things.

So probably more compute than you have physical space for.