For the division at the United Earth Starfleet, please see ODIN.
For the similarly named Trill symbiont or Japanese soup, please see Odan or Oden.
The Odin was a 24th century Federation freighter.
In 2357, the Odin was disabled by a collision with an asteroid. The freighter's four surviving crewmembers, led by Ramsey, drifted for five months in three of the ship's escape pods until they reached the nearest M-class planet, Angel I. The Odin was declared overdue for the next seven years.
In 2364, the starship was discovered, abandoned in space, by the USS Enterprise-D. (TNG: "Angel One")
This starship was only mentioned in dialogue.
In an internal list of starships, from 26 September 1990, the Odin (spelled as "Oden") was identified as an Apollo-class starship. 
According to the Star Trek Encyclopedia (4th ed., vol. 2, p. 100), the registry for the SS Odin was NGL-12535.
The ship was presumably named for Odin, the creator and supreme deity in Norse mythology; see also: Woden.