465077906964 has 36 divisors (see below), whose sum is σ = 1282487562720. Its totient is φ = 140932698960.

The previous prime is 465077906947. The next prime is 465077906981. The reversal of 465077906964 is 469609770564.

465077906964 is a `hidden beast` number, since 4 + 6 + 507 + 7 + 9 + 0 + 69 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (465077906947) and next prime (465077906981).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 587219184 + ... + 587219975.

It is an arithmetic number, because the mean of its divisors is an integer number (35624654520).

Almost surely, 2^465077906964 is an apocalyptic number.

465077906964 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465077906964 is an abundant number, since it is smaller than the sum of its proper divisors (817409655756).

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

465077906964 is a wasteful number, since it uses less digits than its factorization.

465077906964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174439180 (or 1174439175 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 465077906964 in words is "four hundred sixty-five billion, seventy-seven million, nine hundred six thousand, nine hundred sixty-four".