45332370720 has 1152 divisors, whose sum is σ = 202095129600. Its totient is φ = 9045983232.

The previous prime is 45332370701. The next prime is 45332370737. The reversal of 45332370720 is 2707323354.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 509352436 + ... + 509352524.

It is an arithmetic number, because the mean of its divisors is an integer number (175429800).

Almost surely, 2^45332370720 is an apocalyptic number.

45332370720 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 45332370720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101047564800).

45332370720 is an abundant number, since it is smaller than the sum of its proper divisors (156762758880).

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

45332370720 is a wasteful number, since it uses less digits than its factorization.

45332370720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 36.

The spelling of 45332370720 in words is "forty-five billion, three hundred thirty-two million, three hundred seventy thousand, seven hundred twenty".