How Is Jesus ‘Everlasting Father’?

There is one passage that each of us will hear a dozen times over Christmas: ‘For unto us a child is born, for unto us a Son is given…And he shall be called Wonderful Counselor, Mighty God, Everlasting Father, Prince of Peace’ (Is. 9:6). There is a puzzle in this verse that a lot of Christians never pause to figure out. What does it mean that Jesus is ‘Everlasting Father’?