90064164960 has 288 divisors, whose sum is σ = 383182555392. Its totient is φ = 18714608640.

The previous prime is 90064164919. The next prime is 90064164979. The reversal of 90064164960 is 6946146009.

90064164960 is a `hidden beast` number, since 90 + 0 + 64 + 16 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×90064164960² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 295254 + ... + 517013.

It is an arithmetic number, because the mean of its divisors is an integer number (1330494984).

Almost surely, 2^90064164960 is an apocalyptic number.

90064164960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90064164960 is an abundant number, since it is smaller than the sum of its proper divisors (293118390432).

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

90064164960 is a wasteful number, since it uses less digits than its factorization.

90064164960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812306 (or 812295 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 90064164960 in words is "ninety billion, sixty-four million, one hundred sixty-four thousand, nine hundred sixty".