The Trojans (6-2), who counted the game as an exhibition, took advantage of 19 turnovers by the Cougars (5-4) while committing just seven. They also outshot Charleston, which made as many field goals in the game (16 of 48) as Anderson made in the first half (16 of 29).
Hash had 14 points in the first half, when Anderson led by as many as 16 points before Charleston cut it to 37-30 at halftime.
After a 3-pointer by Hash gave Anderson a 47-36 lead with 14:25 left in the second half, neither team scored for 5 minutes. A layup by Chris Ross then started a 12-2 Trojans run for a 59-38 lead with 5:46 left.
Adjehi Baru scored 11 points and grabbed 14 rebounds for Charleston.
Maryland point guard Melo Trimble, considered a lock to leave the program before struggling in the second half last season, has withdrawn from the NBA draft and will return for his junior season.
Louisville's Chinanu Onuaku, who recently underwent a medical procedure to correct a heart rhythm issue detected during the combine, will keep his name in the NBA draft pool.
Andrew White III will return to the Nebraska men's basketball team next season after removing his name from the NBA draft.