10507632704 has 28 divisors (see below), whose sum is σ = 20859407100. Its totient is φ = 5251719168.

The previous prime is 10507632679. The next prime is 10507632739. The reversal of 10507632704 is 40723670501.

It can be written as a sum of positive squares in 2 ways, for example, as 6171673600 + 4335959104 = 78560^2 + 65848^2 .

It is a super-4 number, since 4×10507632704⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 135512 + ... + 198440.

It is an arithmetic number, because the mean of its divisors is an integer number (744978825).

Almost surely, 2^10507632704 is an apocalyptic number.

It is an amenable number.

10507632704 is a deficient number, since it is larger than the sum of its proper divisors (10351774396).

10507632704 is an equidigital number, since it uses as much as digits as its factorization.

10507632704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65550 (or 65540 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The spelling of 10507632704 in words is "ten billion, five hundred seven million, six hundred thirty-two thousand, seven hundred four".