Which network type did you choose? Seems like you made a gateway and Hamachi is issuing out an IP that is already in use( which will give you a 0.0.0.0 ) so to fix that you have to right click the network on the Hamachi GUI and choose gateway settings. Then you can specify a range of IP addresses Hamachi can dish out.
If you don't think a Gateway network is the best for you, a easier fix will be to just switch your network type.
If you don't think a Gateway network is the best for you, a easier fix will be to just switch your network type.