372971124864 has 384 divisors, whose sum is σ = 1216087170480. Its totient is φ = 108928696320.

The previous prime is 372971124853. The next prime is 372971124907. The reversal of 372971124864 is 468421179273.

372971124864 is a `hidden beast` number, since 3 + 72 + 97 + 1 + 1 + 2 + 486 + 4 = 666.

372971124864 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 57980787264 + 314990337600 = 240792^2 + 561240^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 372971124864.

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, 22710384 + ... + 22726800.

Almost surely, 2^372971124864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 372971124864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608043585240).

372971124864 is an abundant number, since it is smaller than the sum of its proper divisors (843116045616).

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

372971124864 is a wasteful number, since it uses less digits than its factorization.

372971124864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16528 (or 16513 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 372971124864 in words is "three hundred seventy-two billion, nine hundred seventy-one million, one hundred twenty-four thousand, eight hundred sixty-four".