The Reds needed to avoided defeat to qualify for the last 16 of the competition and Coutinho gave them the perfect start with a fourth minute penalty after Mohamed Salah was fouled.
Coutinho doubled the lead after tapping home Roberto Firmino’s pass before Firmino scored himself to make it 3-0 at half-time.
Sadio Mane made it four with stunning volley just after half-time before Coutinho completed his hat-trick.
Mane added the sixth before Salah completed the rout with his 18 goal of the season so far.
Liverpool topped Group E and join Manchester City, Chelsea, Manchester United and Tottenham in Monday’s draw.
Match highlights below:Tweet