46072657920 has 384 divisors, whose sum is σ = 155052817920. Its totient is φ = 11656888320.

The previous prime is 46072657907. The next prime is 46072657951. The reversal of 46072657920 is 2975627064.

It is a tau number, because it is divible by the number of its divisors (384).

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 46072657920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139192155 + ... + 139192485.

It is an arithmetic number, because the mean of its divisors is an integer number (403783380).

Almost surely, 2^46072657920 is an apocalyptic number.

46072657920 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 46072657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77526408960).

46072657920 is an abundant number, since it is smaller than the sum of its proper divisors (108980160000).

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

46072657920 is a wasteful number, since it uses less digits than its factorization.

46072657920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 561 counting only the distinct ones).

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

The spelling of 46072657920 in words is "forty-six billion, seventy-two million, six hundred fifty-seven thousand, nine hundred twenty".