66582720 has 168 divisors, whose sum is σ = 233385360. Its totient is φ = 17418240.

The previous prime is 66582713. The next prime is 66582731. The reversal of 66582720 is 2728566.

66582720 is a `hidden beast` number, since 6 + 6 + 582 + 72 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175491 + ... + 175869.

Almost surely, 2^66582720 is an apocalyptic number.

66582720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66582720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116692680).

66582720 is an abundant number, since it is smaller than the sum of its proper divisors (166802640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66582720 is a wasteful number, since it uses less digits than its factorization.

66582720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 66582720 is about 8159.8235275035. The cubic root of 66582720 is about 405.3098680245.

The spelling of 66582720 in words is "sixty-six million, five hundred eighty-two thousand, seven hundred twenty".