37768092080625 has 135 divisors (see below), whose sum is σ = 69259855277613. Its totient is φ = 19826116596000.

The previous prime is 37768092080599. The next prime is 37768092080671. The reversal of 37768092080625 is 52608029086773.

The square root of 37768092080625 is 6145575.

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

37768092080625 is a `hidden beast` number, since 377 + 6 + 80 + 92 + 0 + 80 + 6 + 25 = 666.

37768092080625 is digitally balanced in base 2, 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 2 ways, for example, as 2961018419121 + 34807073661504 = 1720761^2 + 5899752^2 .

It is not a de Polignac number, because 37768092080625 - 2⁴³ = 28971999058417 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 30881513764 + ... + 30881514986.

Almost surely, 2^{37768092080625} is an apocalyptic number.

37768092080625 is the 6145575-th square number.

37768092080625 is the 3072788-th centered octagonal number.

It is an amenable number.

37768092080625 is a deficient number, since it is larger than the sum of its proper divisors (31491763196988).

37768092080625 is an frugal number, since it uses more digits than its factorization.

37768092080625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 37768092080625 in words is "thirty-seven trillion, seven hundred sixty-eight billion, ninety-two million, eighty thousand, six hundred twenty-five".