Their victory ensured the title will be decided in the final match of the tournament between France and Scotland on "Super Saturday."
France will clinch the title with a win over the Scots.
"Maybe I'll start singing 'The Bonnie Banks of Loch Lomond,'" England captain Maro Itoje smiled — referring to the famous Scottish ditty — when asked what he'll be doing during the France-Scotland game.
"What will be, will be. We did our job."
England were in total control from the start and tries by Maro Itoje, Tom Roebuck, Tommy Freeman - who became the first Englishman to score in all five rounds of the competition – Chandler Cunningham-South and Will Stuart put them 33-7 ahead at halftime.
Debutant 20-year-old flanker Henry Pollock came off the bench to score two tries and Alex Mitchell, Joe Heyes and Cunningham-South crossed after the break to take the tally to 10.
England easily surpassed their previous biggest victory margin in Cardiff, the 43-9 success in a 2003 World Cup warm-up, and their previous highest score, 44-15 in 2001.
The Welsh have now lost all of their matches for two straight campaigns, as they succumbed in an international for a record-extending 17th time in a row.