10634669752 has 32 divisors (see below), whose sum is σ = 22792273920. Its totient is φ = 4556976480.

The previous prime is 10634669723. The next prime is 10634669761. The reversal of 10634669752 is 25796643601.

It is a happy number.

10634669752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10634669752² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10634669696 and 10634669705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 466377 + ... + 488647.

It is an arithmetic number, because the mean of its divisors is an integer number (712258560).

Almost surely, 2^10634669752 is an apocalyptic number.

It is an amenable number.

10634669752 is an abundant number, since it is smaller than the sum of its proper divisors (12157604168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10634669752 is a wasteful number, since it uses less digits than its factorization.

10634669752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30811 (or 30807 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

The spelling of 10634669752 in words is "ten billion, six hundred thirty-four million, six hundred sixty-nine thousand, seven hundred fifty-two".