10637240769 has 27 divisors (see below), whose sum is σ = 15890862819. Its totient is φ = 6856547760.

The previous prime is 10637240759. The next prime is 10637240773. The reversal of 10637240769 is 96704273601.

The square root of 10637240769 is 103137.

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

10637240769 is a `hidden beast` number, since 1 + 0 + 637 + 2 + 4 + 0 + 7 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 171950769 + 10465290000 = 13113^2 + 102300^2 .

It is not a de Polignac number, because 10637240769 - 2⁷ = 10637240641 is a prime.

It is a super-2 number, since 2×10637240769² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10637240759) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9591187 + ... + 9592295.

Almost surely, 2^10637240769 is an apocalyptic number.

10637240769 is the 103137-th square number.

10637240769 is the 51569-th centered octagonal number.

It is an amenable number.

10637240769 is a deficient number, since it is larger than the sum of its proper divisors (5253622050).

10637240769 is an frugal number, since it uses more digits than its factorization.

10637240769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 10637240769 in words is "ten billion, six hundred thirty-seven million, two hundred forty thousand, seven hundred sixty-nine".