37666688625 has 48 divisors (see below), whose sum is σ = 67928062800. Its totient is φ = 20080742400.

The previous prime is 37666688597. The next prime is 37666688627. The reversal of 37666688625 is 52688666673.

It can be written as a sum of positive squares in 8 ways, for example, as 26061582096 + 11605106529 = 161436^2 + 107727^2 .

It is not a de Polignac number, because 37666688625 - 2⁵ = 37666688593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (37666688627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3627441 + ... + 3637809.

It is an arithmetic number, because the mean of its divisors is an integer number (1415167975).

Almost surely, 2^37666688625 is an apocalyptic number.

It is an amenable number.

37666688625 is a deficient number, since it is larger than the sum of its proper divisors (30261374175).

37666688625 is a wasteful number, since it uses less digits than its factorization.

37666688625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13619 (or 13606 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 37666688625 in words is "thirty-seven billion, six hundred sixty-six million, six hundred eighty-eight thousand, six hundred twenty-five".