12646368000 has 1440 divisors, whose sum is σ = 58336806528. Its totient is φ = 2654208000.

The previous prime is 12646367999. The next prime is 12646368013. The reversal of 12646368000 is 86364621.

12646368000 is a `hidden beast` number, since 1 + 2 + 646 + 3 + 6 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 308447980 + ... + 308448020.

Almost surely, 2^12646368000 is an apocalyptic number.

12646368000 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 12646368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29168403264).

12646368000 is an abundant number, since it is smaller than the sum of its proper divisors (45690438528).

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

12646368000 is an equidigital number, since it uses as much as digits as its factorization.

12646368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 12646368000 in words is "twelve billion, six hundred forty-six million, three hundred sixty-eight thousand".