10475232768 has 640 divisors, whose sum is σ = 41687331840. Its totient is φ = 2508226560.

The previous prime is 10475232739. The next prime is 10475232787. The reversal of 10475232768 is 86723257401.

10475232768 is a `hidden beast` number, since 1 + 0 + 47 + 523 + 27 + 68 = 666.

It is a congruent number.

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, 13837446 + ... + 13838202.

It is an arithmetic number, because the mean of its divisors is an integer number (65136456).

Almost surely, 2^10475232768 is an apocalyptic number.

10475232768 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 10475232768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20843665920).

10475232768 is an abundant number, since it is smaller than the sum of its proper divisors (31212099072).

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

10475232768 is a wasteful number, since it uses less digits than its factorization.

10475232768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 10475232768 in words is "ten billion, four hundred seventy-five million, two hundred thirty-two thousand, seven hundred sixty-eight".