37926481768704 has 135 divisors (see below), whose sum is σ = 113092550553367. Its totient is φ = 12641864984064.

The previous prime is 37926481768621. The next prime is 37926481768723. The reversal of 37926481768704 is 40786718462973.

The square root of 37926481768704 is 6158448.

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

37926481768704 is a `hidden beast` number, since 3 + 7 + 9 + 2 + 6 + 481 + 76 + 8 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 886795129 + ... + 886837895.

Almost surely, 2^{37926481768704} is an apocalyptic number.

37926481768704 is the 6158448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37926481768704

37926481768704 is an abundant number, since it is smaller than the sum of its proper divisors (75166068784663).

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

37926481768704 is an frugal number, since it uses more digits than its factorization.

37926481768704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85562 (or 42772 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 72.

The spelling of 37926481768704 in words is "thirty-seven trillion, nine hundred twenty-six billion, four hundred eighty-one million, seven hundred sixty-eight thousand, seven hundred four".