There are 2 US Post Offices in Hickman County serving a total of 3,610 residents equating to 1,805 residents per post office. It's estimated that approximately 5,762 packages are handled across the 2 county post offices annually. Hickman County is a county located in the U.S. state of Kentucky. As of the 2010 census, the population was 4,902, making it the third-least populous county in Kentucky. Its county seat is Clinton. The county was formed in 1821. It is the least densely populated county in the state and is a prohibition or dry county."