12646939968000 has 640 divisors, whose sum is σ = 50313832208640. Its totient is φ = 3113087385600.

The previous prime is 12646939967933. The next prime is 12646939968023. The reversal of 12646939968000 is 86993964621.

12646939968000 is a `hidden beast` number, since 1 + 2 + 6 + 469 + 3 + 9 + 96 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22182507 + ... + 22745493.

It is an arithmetic number, because the mean of its divisors is an integer number (78615362826).

Almost surely, 2^{12646939968000} is an apocalyptic number.

12646939968000 is a gapful number since it is divisible by the number (10) 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 12646939968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25156916104320).

12646939968000 is an abundant number, since it is smaller than the sum of its proper divisors (37666892240640).

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

12646939968000 is an equidigital number, since it uses as much as digits as its factorization.

12646939968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563042 (or 563010 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 12646939968000 in words is "twelve trillion, six hundred forty-six billion, nine hundred thirty-nine million, nine hundred sixty-eight thousand".