37506413565504 has 567 divisors, whose sum is σ = 121048845922017. Its totient is φ = 11524560892416.

The previous prime is 37506413565499. The next prime is 37506413565521. The reversal of 37506413565504 is 40556531460573.

The square root of 37506413565504 is 6124248.

It is a perfect power (a square), and thus also a powerful number.

37506413565504 is a `hidden beast` number, since 3 + 7 + 5 + 0 + 6 + 41 + 35 + 65 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5548286030400 + 31958127535104 = 2355480^2 + 5653152^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 80 ways as a sum of consecutive naturals, for example, 51590664789 + ... + 51590665515.

Almost surely, 2^{37506413565504} is an apocalyptic number.

37506413565504 is the 6124248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37506413565504

37506413565504 is an abundant number, since it is smaller than the sum of its proper divisors (83542432356513).

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

37506413565504 is an frugal number, since it uses more digits than its factorization.

37506413565504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 22680000, while the sum is 54.

The spelling of 37506413565504 in words is "thirty-seven trillion, five hundred six billion, four hundred thirteen million, five hundred sixty-five thousand, five hundred four".