Not sure how you can drive current with zero volts. When you measure between the neutral and the water pipe, you should be reading the voltage drop on the service neutral between where you are connected to the neutral and the other point where the water pipe is connected to the neutral to the transformer that supplies your service.
Was there any current on the neutral when you took that voltage measurement?
Having zero volts baffles me as well. There was current on the Neutral during that reading though, I don't remember how much exactly. The reading was taken under normal circumstances, I did not turn anything off.