372742336512 has 624 divisors, whose sum is σ = 1383045500928. Its totient is φ = 94012047360.

The previous prime is 372742336501. The next prime is 372742336537. The reversal of 372742336512 is 215633247273.

372742336512 is a `hidden beast` number, since 3 + 7 + 274 + 2 + 3 + 365 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×372742336512² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77153937 + ... + 77158767.

It is an arithmetic number, because the mean of its divisors is an integer number (2216419072).

Almost surely, 2^372742336512 is an apocalyptic number.

372742336512 is a gapful number since it is divisible by the number (32) 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 372742336512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691522750464).

372742336512 is an abundant number, since it is smaller than the sum of its proper divisors (1010303164416).

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

372742336512 is a wasteful number, since it uses less digits than its factorization.

372742336512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4904 (or 4879 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 45.

The spelling of 372742336512 in words is "three hundred seventy-two billion, seven hundred forty-two million, three hundred thirty-six thousand, five hundred twelve".