45802625760 has 144 divisors (see below), whose sum is σ = 158634652176. Its totient is φ = 12031709184.

The previous prime is 45802625719. The next prime is 45802625773. The reversal of 45802625760 is 6752620854.

45802625760 is a `hidden beast` number, since 4 + 58 + 0 + 26 + 2 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 140889 + ... + 333848.

It is an arithmetic number, because the mean of its divisors is an integer number (1101629529).

Almost surely, 2^45802625760 is an apocalyptic number.

45802625760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45802625760 is an abundant number, since it is smaller than the sum of its proper divisors (112832026416).

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

45802625760 is a wasteful number, since it uses less digits than its factorization.

45802625760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474825 (or 474814 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 45802625760 in words is "forty-five billion, eight hundred two million, six hundred twenty-five thousand, seven hundred sixty".