About the Hamachi Virtual IP Address
Every Hamachi client has one virtual IPv4 (IP) address in the 25.x.x.x range and one IPv6 address. The virtual IP address is globally unique and is used to access the client from any other Hamachi network with at least one common mesh or hub-and-spoke network.
Gateway networks integrate smoothly into the LAN in terms of addressing. 25.x.x.x addresses are not available for a gateway network. Instead, the local address space is used. See also How to Assign an IP Range for Gateway Members on Windows.