12607728768 has 384 divisors, whose sum is σ = 41778547200. Its totient is φ = 3622993920.

The previous prime is 12607728761. The next prime is 12607728811. The reversal of 12607728768 is 86782770621.

It is a happy number.

12607728768 is a `hidden beast` number, since 1 + 2 + 607 + 7 + 28 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (12607728761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11534430 + ... + 11535522.

It is an arithmetic number, because the mean of its divisors is an integer number (108798300).

Almost surely, 2^12607728768 is an apocalyptic number.

12607728768 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 12607728768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20889273600).

12607728768 is an abundant number, since it is smaller than the sum of its proper divisors (29170818432).

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

12607728768 is a wasteful number, since it uses less digits than its factorization.

12607728768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 12607728768 in words is "twelve billion, six hundred seven million, seven hundred twenty-eight thousand, seven hundred sixty-eight".