10684638720 has 800 divisors, whose sum is σ = 46415654208. Its totient is φ = 2293235712.

The previous prime is 10684638677. The next prime is 10684638743. The reversal of 10684638720 is 2783648601.

10684638720 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 4 + 638 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×10684638720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24675624 + ... + 24676056.

Almost surely, 2^10684638720 is an apocalyptic number.

10684638720 is a gapful number since it is divisible by the number (10) 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 10684638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23207827104).

10684638720 is an abundant number, since it is smaller than the sum of its proper divisors (35731015488).

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

10684638720 is an equidigital number, since it uses as much as digits as its factorization.

10684638720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 10684638720 in words is "ten billion, six hundred eighty-four million, six hundred thirty-eight thousand, seven hundred twenty".