10663930368 has 640 divisors, whose sum is σ = 39872448000. Its totient is φ = 2796208128.

The previous prime is 10663930337. The next prime is 10663930379. The reversal of 10663930368 is 86303936601.

10663930368 is a `hidden beast` number, since 1 + 0 + 6 + 639 + 3 + 0 + 3 + 6 + 8 = 666.

It is a super-2 number, since 2×10663930368² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61641130 + ... + 61641302.

It is an arithmetic number, because the mean of its divisors is an integer number (62300700).

Almost surely, 2^10663930368 is an apocalyptic number.

10663930368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10663930368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19936224000).

10663930368 is an abundant number, since it is smaller than the sum of its proper divisors (29208517632).

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

10663930368 is an equidigital number, since it uses as much as digits as its factorization.

10663930368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 10663930368 in words is "ten billion, six hundred sixty-three million, nine hundred thirty thousand, three hundred sixty-eight".