45713972640 has 384 divisors, whose sum is σ = 173746944000. Its totient is φ = 9869561856.

The previous prime is 45713972627. The next prime is 45713972657. The reversal of 45713972640 is 4627931754.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45713972640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26748106 + ... + 26749814.

It is an arithmetic number, because the mean of its divisors is an integer number (452466000).

Almost surely, 2^45713972640 is an apocalyptic number.

45713972640 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 45713972640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86873472000).

45713972640 is an abundant number, since it is smaller than the sum of its proper divisors (128032971360).

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

45713972640 is a wasteful number, since it uses less digits than its factorization.

45713972640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 45713972640 in words is "forty-five billion, seven hundred thirteen million, nine hundred seventy-two thousand, six hundred forty".