66637022125 has 32 divisors (see below), whose sum is σ = 83515592160. Its totient is φ = 53084160000.

The previous prime is 66637022069. The next prime is 66637022171. The reversal of 66637022125 is 52122073666.

66637022125 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 16 ways, for example, as 41363017641 + 25274004484 = 203379^2 + 158978^2 .

It is not a de Polignac number, because 66637022125 - 2⁹ = 66637021613 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41621325 + ... + 41622925.

It is an arithmetic number, because the mean of its divisors is an integer number (2609862255).

Almost surely, 2^66637022125 is an apocalyptic number.

It is an amenable number.

66637022125 is a deficient number, since it is larger than the sum of its proper divisors (16878570035).

66637022125 is a wasteful number, since it uses less digits than its factorization.

66637022125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2818 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 66637022125 in words is "sixty-six billion, six hundred thirty-seven million, twenty-two thousand, one hundred twenty-five".