12640756617216 has 1664 divisors, whose sum is σ = 48677846999040. Its totient is φ = 3150396260352.

The previous prime is 12640756617157. The next prime is 12640756617241. The reversal of 12640756617216 is 61271665704621.

12640756617216 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 0 + 7 + 5 + 6 + 617 + 2 + 16 = 666.

12640756617216 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 (1664).

It is a super-3 number, since 3×12640756617216³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22452498151 + ... + 22452498713.

Almost surely, 2^{12640756617216} is an apocalyptic number.

12640756617216 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 12640756617216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24338923499520).

12640756617216 is an abundant number, since it is smaller than the sum of its proper divisors (36037090381824).

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

12640756617216 is a wasteful number, since it uses less digits than its factorization.

12640756617216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 12640756617216 in words is "twelve trillion, six hundred forty billion, seven hundred fifty-six million, six hundred seventeen thousand, two hundred sixteen".