64928269764864 has 405 divisors, whose sum is σ = 212846625140611. Its totient is φ = 19671365514240.

The previous prime is 64928269764857. The next prime is 64928269764877. The reversal of 64928269764864 is 46846796282946.

The square root of 64928269764864 is 8057808.

It is a perfect power (a square), and thus also a powerful number.

64928269764864 is a `hidden beast` number, since 6 + 4 + 9 + 2 + 8 + 2 + 69 + 76 + 486 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

Its product of digits (12039487488) is a multiple of the sum of its prime divisors (5103).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12763565329 + ... + 12763570415.

Almost surely, 2^{64928269764864} is an apocalyptic number.

64928269764864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

64928269764864 is the 8057808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64928269764864

64928269764864 is an abundant number, since it is smaller than the sum of its proper divisors (147918355375747).

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

64928269764864 is an frugal number, since it uses more digits than its factorization.

64928269764864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10224 (or 5103 counting only the distinct ones).

The product of its digits is 12039487488, while the sum is 81.

64928269764864 divided by its sum of digits (81) gives a square (801583577344 = 895312²).

The spelling of 64928269764864 in words is "sixty-four trillion, nine hundred twenty-eight billion, two hundred sixty-nine million, seven hundred sixty-four thousand, eight hundred sixty-four".