12827064768 has 336 divisors, whose sum is σ = 42169201920. Its totient is φ = 3420942336.

The previous prime is 12827064751. The next prime is 12827064769. The reversal of 12827064768 is 86746072821.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 12827064768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12827064769) 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, 13048405 + ... + 13049387.

Almost surely, 2^12827064768 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 12827064768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21084600960).

12827064768 is an abundant number, since it is smaller than the sum of its proper divisors (29342137152).

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

12827064768 is a wasteful number, since it uses less digits than its factorization.

12827064768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 12827064768 in words is "twelve billion, eight hundred twenty-seven million, sixty-four thousand, seven hundred sixty-eight".