12646720800 has 432 divisors, whose sum is σ = 51842306880. Its totient is φ = 2841016320.

The previous prime is 12646720787. The next prime is 12646720813. The reversal of 12646720800 is 802764621.

12646720800 is a `hidden beast` number, since 1 + 2 + 646 + 7 + 2 + 0 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12646720787) and next prime (12646720813).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2971474 + ... + 2975726.

It is an arithmetic number, because the mean of its divisors is an integer number (120005340).

Almost surely, 2^12646720800 is an apocalyptic number.

12646720800 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 12646720800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25921153440).

12646720800 is an abundant number, since it is smaller than the sum of its proper divisors (39195586080).

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

12646720800 is a wasteful number, since it uses less digits than its factorization.

12646720800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4345 (or 4329 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 12646720800 in words is "twelve billion, six hundred forty-six million, seven hundred twenty thousand, eight hundred".