12640663209600 has 288 divisors, whose sum is σ = 45195224880000. Its totient is φ = 3364084500480.

The previous prime is 12640663209541. The next prime is 12640663209619. The reversal of 12640663209600 is 690236604621.

12640663209600 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 0 + 6 + 6 + 32 + 0 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13931409 + ... + 14810991.

Almost surely, 2^{12640663209600} is an apocalyptic number.

12640663209600 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 12640663209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22597612440000).

12640663209600 is an abundant number, since it is smaller than the sum of its proper divisors (32554561670400).

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

12640663209600 is a wasteful number, since it uses less digits than its factorization.

12640663209600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880112 (or 880092 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 12640663209600 in words is "twelve trillion, six hundred forty billion, six hundred sixty-three million, two hundred nine thousand, six hundred".