If we take all the servers that exists and completely fill them with cryptocurrency data, how much can we have at once?
Nothing infinite after all... Right?
I think you're talking about mining, really. So let's talk about what's possible.
Today, in the last 24 hours there were 1,850 Bitcoin mined (148 blocks) (
https://blockchain.info/stats). So, that's what's possible if you controlled 100% of the mining power, which you don't.
Here's a breakdown of the biggest mining operations running and what percent of the network they control (
https://blockchain.info/pools). The largest percentage one entity controls is 24.7% by BTC.com. So if you were the guy that could run control more than anyone else on the network - 25% - you'd be earning 462.5 Bitcoin in 24 hours. But to do that would require quite the operation!
Does this help you understand what's possible?