12668634316800 has 5040 divisors, whose sum is σ = 63950069433600. Its totient is φ = 2407897497600.

The previous prime is 12668634316783. The next prime is 12668634316817. The reversal of 12668634316800 is 861343686621.

12668634316800 is a `hidden beast` number, since 1 + 2 + 66 + 86 + 343 + 168 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12668634316783) and next prime (12668634316817).

It is a tau number, because it is divible by the number of its divisors (5040).

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 436849459186 + ... + 436849459214.

It is an arithmetic number, because the mean of its divisors is an integer number (12688505840).

Almost surely, 2^{12668634316800} is an apocalyptic number.

12668634316800 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 12668634316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31975034716800).

12668634316800 is an abundant number, since it is smaller than the sum of its proper divisors (51281435116800).

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

12668634316800 is an equidigital number, since it uses as much as digits as its factorization.

12668634316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 12668634316800 in words is "twelve trillion, six hundred sixty-eight billion, six hundred thirty-four million, three hundred sixteen thousand, eight hundred".