12761744688 has 480 divisors, whose sum is σ = 47799797760. Its totient is φ = 3076669440.

The previous prime is 12761744683. The next prime is 12761744689. The reversal of 12761744688 is 88644716721.

12761744688 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 174 + 468 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12761744683) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14890756 + ... + 14891612.

It is an arithmetic number, because the mean of its divisors is an integer number (99582912).

Almost surely, 2^12761744688 is an apocalyptic number.

12761744688 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 12761744688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23899898880).

12761744688 is an abundant number, since it is smaller than the sum of its proper divisors (35038053072).

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

12761744688 is a wasteful number, since it uses less digits than its factorization.

12761744688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 976 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 12761744688 in words is "twelve billion, seven hundred sixty-one million, seven hundred forty-four thousand, six hundred eighty-eight".