64076918400 has 384 divisors, whose sum is σ = 255826036800. Its totient is φ = 15533568000.

The previous prime is 64076918393. The next prime is 64076918447. The reversal of 64076918400 is 481967046.

64076918400 is a `hidden beast` number, since 6 + 407 + 69 + 184 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 916690 + ... + 984110.

Almost surely, 2^64076918400 is an apocalyptic number.

64076918400 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 64076918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127913018400).

64076918400 is an abundant number, since it is smaller than the sum of its proper divisors (191749118400).

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

64076918400 is a wasteful number, since it uses less digits than its factorization.

64076918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67465 (or 67442 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 64076918400 in words is "sixty-four billion, seventy-six million, nine hundred eighteen thousand, four hundred".