10631603632 has 80 divisors (see below), whose sum is σ = 22479429280. Its totient is φ = 4841773056.

The previous prime is 10631603627. The next prime is 10631603641. The reversal of 10631603632 is 23630613601.

10631603632 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 2×10631603632² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10631603594 and 10631603603.

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 15 ways as a sum of consecutive naturals, for example, 6415348 + ... + 6417004.

It is an arithmetic number, because the mean of its divisors is an integer number (280992866).

Almost surely, 2^10631603632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10631603632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11239714640).

10631603632 is an abundant number, since it is smaller than the sum of its proper divisors (11847825648).

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

10631603632 is a wasteful number, since it uses less digits than its factorization.

10631603632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 31.

The spelling of 10631603632 in words is "ten billion, six hundred thirty-one million, six hundred three thousand, six hundred thirty-two".