10633107781968 has 120 divisors (see below), whose sum is σ = 31954830197472. Its totient is φ = 3037911351552.

The previous prime is 10633107781927. The next prime is 10633107781973. The reversal of 10633107781968 is 86918770133601.

It is a super-2 number, since 2×10633107781968² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72266971 + ... + 72413957.

Almost surely, 2^{10633107781968} is an apocalyptic number.

It is an amenable number.

10633107781968 is an abundant number, since it is smaller than the sum of its proper divisors (21321722415504).

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

10633107781968 is a wasteful number, since it uses less digits than its factorization.

10633107781968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177769 (or 177756 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 60.

The spelling of 10633107781968 in words is "ten trillion, six hundred thirty-three billion, one hundred seven million, seven hundred eighty-one thousand, nine hundred sixty-eight".