12704306688 has 240 divisors, whose sum is σ = 37803205440. Its totient is φ = 4105531392.

The previous prime is 12704306653. The next prime is 12704306701. The reversal of 12704306688 is 88660340721.

12704306688 is a `hidden beast` number, since 12 + 70 + 430 + 66 + 88 = 666.

It is a super-2 number, since 2×12704306688² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22565095 + ... + 22565657.

It is an arithmetic number, because the mean of its divisors is an integer number (157513356).

Almost surely, 2^12704306688 is an apocalyptic number.

12704306688 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 12704306688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18901602720).

12704306688 is an abundant number, since it is smaller than the sum of its proper divisors (25098898752).

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

12704306688 is an equidigital number, since it uses as much as digits as its factorization.

12704306688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 710 counting only the distinct ones).

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

The spelling of 12704306688 in words is "twelve billion, seven hundred four million, three hundred six thousand, six hundred eighty-eight".