64566720 has 280 divisors, whose sum is σ = 238987584. Its totient is φ = 16533504.

The previous prime is 64566679. The next prime is 64566737. The reversal of 64566720 is 2766546.

64566720 is a `hidden beast` number, since 645 + 6 + 6 + 7 + 2 + 0 = 666.

64566720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×64566720² = 8337722663116800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1218214 + ... + 1218266.

Almost surely, 2^64566720 is an apocalyptic number.

64566720 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 64566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119493792).

64566720 is an abundant number, since it is smaller than the sum of its proper divisors (174420864).

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

64566720 is a wasteful number, since it uses less digits than its factorization.

64566720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 64566720 is about 8035.3419342303. The cubic root of 64566720 is about 401.1771987756.

The spelling of 64566720 in words is "sixty-four million, five hundred sixty-six thousand, seven hundred twenty".