45332937720 has 384 divisors, whose sum is σ = 170722131840. Its totient is φ = 10218700800.

The previous prime is 45332937707. The next prime is 45332937763. The reversal of 45332937720 is 2773923354.

45332937720 is a `hidden beast` number, since 4 + 533 + 2 + 93 + 7 + 7 + 20 = 666.

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 95 ways as a sum of consecutive naturals, for example, 113049520 + ... + 113049920.

It is an arithmetic number, because the mean of its divisors is an integer number (444588885).

Almost surely, 2^45332937720 is an apocalyptic number.

45332937720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45332937720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85361065920).

45332937720 is an abundant number, since it is smaller than the sum of its proper divisors (125389194120).

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

45332937720 is a wasteful number, since it uses less digits than its factorization.

45332937720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 45332937720 in words is "forty-five billion, three hundred thirty-two million, nine hundred thirty-seven thousand, seven hundred twenty".