10384610688 has 96 divisors (see below), whose sum is σ = 29904217200. Its totient is φ = 3459056640.

The previous prime is 10384610681. The next prime is 10384610713. The reversal of 10384610688 is 88601648301.

It is a happy number.

10384610688 is a `hidden beast` number, since 103 + 8 + 461 + 0 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10384610681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2346718 + ... + 2351138.

Almost surely, 2^10384610688 is an apocalyptic number.

10384610688 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 10384610688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14952108600).

10384610688 is an abundant number, since it is smaller than the sum of its proper divisors (19519606512).

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

10384610688 is a wasteful number, since it uses less digits than its factorization.

10384610688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6480 (or 6465 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 10384610688 in words is "ten billion, three hundred eighty-four million, six hundred ten thousand, six hundred eighty-eight".