12764795636736 has 1584 divisors, whose sum is σ = 46477601716000. Its totient is φ = 3437570949120.

The previous prime is 12764795636731. The next prime is 12764795636771. The reversal of 12764795636736 is 63763659746721.

12764795636736 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 479 + 5 + 63 + 67 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (12764795636731) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36575345490 + ... + 36575345838.

Almost surely, 2^{12764795636736} is an apocalyptic number.

12764795636736 is a gapful number since it is divisible by the number (16) 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 12764795636736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23238800858000).

12764795636736 is an abundant number, since it is smaller than the sum of its proper divisors (33712806079264).

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

12764795636736 is a wasteful number, since it uses less digits than its factorization.

12764795636736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 407 counting only the distinct ones).

The product of its digits is 1440270720, while the sum is 72.

The spelling of 12764795636736 in words is "twelve trillion, seven hundred sixty-four billion, seven hundred ninety-five million, six hundred thirty-six thousand, seven hundred thirty-six".