Track / Stage 4 / 179 of 340 #439 of 1964

Problem 439

AMC 12 late, AIME early

Number theory Difficulty 4.8 Find the answer

65. There is a four-digit number, its product with 6 is a perfect cube, and its quotient with 6 is a perfect square; then this four-digit number is $\qquad$ .

Your answer

A number or a short expression. Spacing, $ signs and \frac vs / are all fine.

Official solution

Answer: 7776

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.