64864065600 has 168 divisors, whose sum is σ = 236453700320. Its totient is φ = 17297072640.

The previous prime is 64864065569. The next prime is 64864065631. The reversal of 64864065600 is 656046846.

64864065600 is a `hidden beast` number, since 6 + 4 + 86 + 4 + 0 + 6 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64864065569) and next prime (64864065631).

It is a super-2 number, since 2×64864065600² (a number of 22 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 707542 + ... + 793941.

Almost surely, 2^64864065600 is an apocalyptic number.

64864065600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64864065600 is an abundant number, since it is smaller than the sum of its proper divisors (171589634720).

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

64864065600 is a wasteful number, since it uses less digits than its factorization.

64864065600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501514 (or 1501493 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 64864065600 in words is "sixty-four billion, eight hundred sixty-four million, sixty-five thousand, six hundred".