372465624960 has 1536 divisors, whose sum is σ = 1616761036800. Its totient is φ = 77724057600.

The previous prime is 372465624871. The next prime is 372465625001. The reversal of 372465624960 is 69426564273.

372465624960 is a `hidden beast` number, since 3 + 7 + 2 + 4 + 6 + 5 + 624 + 9 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 372465624897 and 372465624906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 740488069 + ... + 740488571.

It is an arithmetic number, because the mean of its divisors is an integer number (1052578800).

Almost surely, 2^372465624960 is an apocalyptic number.

372465624960 is a gapful number since it is divisible by the number (30) 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 372465624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808380518400).

372465624960 is an abundant number, since it is smaller than the sum of its proper divisors (1244295411840).

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

372465624960 is a wasteful number, since it uses less digits than its factorization.

372465624960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 372465624960 in words is "three hundred seventy-two billion, four hundred sixty-five million, six hundred twenty-four thousand, nine hundred sixty".