37769979025 has 27 divisors (see below), whose sum is σ = 47910393019. Its totient is φ = 29537330480.

The previous prime is 37769979017. The next prime is 37769979031. The reversal of 37769979025 is 52097996773.

It is a happy number.

The square root of 37769979025 is 194345.

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

It can be written as a sum of positive squares in only one way, i.e., 13597192449 + 24172786576 = 116607^2 + 155476^2 .

It is not a de Polignac number, because 37769979025 - 2³ = 37769979017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45670662 + ... + 45671488.

Almost surely, 2^37769979025 is an apocalyptic number.

37769979025 is the 194345-th square number.

37769979025 is the 97173-rd centered octagonal number.

It is an amenable number.

37769979025 is a deficient number, since it is larger than the sum of its proper divisors (10140413994).

37769979025 is an frugal number, since it uses more digits than its factorization.

37769979025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 45008460, while the sum is 64.

Multiplying 37769979025 by its sum of digits (64), we get a square (2417278657600 = 1554760²).

The spelling of 37769979025 in words is "thirty-seven billion, seven hundred sixty-nine million, nine hundred seventy-nine thousand, twenty-five".