64957680 has 320 divisors, whose sum is σ = 249091200. Its totient is φ = 15482880.

The previous prime is 64957631. The next prime is 64957691. The reversal of 64957680 is 8675946.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1064850 + ... + 1064910.

It is an arithmetic number, because the mean of its divisors is an integer number (778410).

Almost surely, 2^64957680 is an apocalyptic number.

64957680 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 64957680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124545600).

64957680 is an abundant number, since it is smaller than the sum of its proper divisors (184133520).

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

64957680 is a wasteful number, since it uses less digits than its factorization.

64957680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 64957680 is about 8059.6327459755. The cubic root of 64957680 is about 401.9852968559.

The spelling of 64957680 in words is "sixty-four million, nine hundred fifty-seven thousand, six hundred eighty".