12766356864 has 192 divisors, whose sum is σ = 39130313040. Its totient is φ = 4140066816.

The previous prime is 12766356847. The next prime is 12766356877. The reversal of 12766356864 is 46865366721.

12766356864 is a `hidden beast` number, since 1 + 2 + 76 + 6 + 3 + 568 + 6 + 4 = 666.

12766356864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12766356864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1145302 + ... + 1156394.

Almost surely, 2^12766356864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12766356864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19565156520).

12766356864 is an abundant number, since it is smaller than the sum of its proper divisors (26363956176).

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

12766356864 is an equidigital number, since it uses as much as digits as its factorization.

12766356864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11159 (or 11135 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 12766356864 in words is "twelve billion, seven hundred sixty-six million, three hundred fifty-six thousand, eight hundred sixty-four".