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.
Mike Krzyzewski says he has good reason to be excited for next season thanks to a combination of Duke's incoming freshmen and a core of experienced upperclassmen.
Georgia guard Juwan Parker has been awarded a medical redshirt, leaving him with two years of eligibility, after missing the 2015-16 season with a partially torn Achilles tendon.
Forward Trevon Bluiett has withdrawn from consideration from the NBA draft and will return to Xavier for his junior season.