45200027664 has 60 divisors (see below), whose sum is σ = 137997058992. Its totient is φ = 13696977600.

The previous prime is 45200027603. The next prime is 45200027681. The reversal of 45200027664 is 46672000254.

45200027664 is a `hidden beast` number, since 4 + 520 + 0 + 0 + 2 + 76 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14266102 + ... + 14269269.

Almost surely, 2^45200027664 is an apocalyptic number.

45200027664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45200027664 is an abundant number, since it is smaller than the sum of its proper divisors (92797031328).

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

45200027664 is a wasteful number, since it uses less digits than its factorization.

45200027664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28535396 (or 28535387 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 45200027664 in words is "forty-five billion, two hundred million, twenty-seven thousand, six hundred sixty-four".