12642921607680 has 5120 divisors, whose sum is σ = 63355944960000. Its totient is φ = 2359739547648.

The previous prime is 12642921607651. The next prime is 12642921607727. The reversal of 12642921607680 is 8670612924621.

12642921607680 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 2 + 9 + 21 + 607 + 6 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 99550563777 + ... + 99550563903.

It is an arithmetic number, because the mean of its divisors is an integer number (12374208000).

Almost surely, 2^{12642921607680} is an apocalyptic number.

12642921607680 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 12642921607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31677972480000).

12642921607680 is an abundant number, since it is smaller than the sum of its proper divisors (50713023352320).

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

12642921607680 is a wasteful number, since it uses less digits than its factorization.

12642921607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 12642921607680 in words is "twelve trillion, six hundred forty-two billion, nine hundred twenty-one million, six hundred seven thousand, six hundred eighty".