12638387760768 has 1152 divisors, whose sum is σ = 47999370968640. Its totient is φ = 3273235660800.

The previous prime is 12638387760763. The next prime is 12638387760809. The reversal of 12638387760768 is 86706778383621.

12638387760768 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 8 + 3 + 8 + 7 + 7 + 607 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 12638387760696 and 12638387760705.

It is not an unprimeable number, because it can be changed into a prime (12638387760763) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7259268378 + ... + 7259270118.

Almost surely, 2^{12638387760768} is an apocalyptic number.

12638387760768 is a gapful number since it is divisible by the number (18) 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 12638387760768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23999685484320).

12638387760768 is an abundant number, since it is smaller than the sum of its proper divisors (35360983207872).

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

12638387760768 is a wasteful number, since it uses less digits than its factorization.

12638387760768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 72.

The spelling of 12638387760768 in words is "twelve trillion, six hundred thirty-eight billion, three hundred eighty-seven million, seven hundred sixty thousand, seven hundred sixty-eight".