12761668800 has 336 divisors, whose sum is σ = 49260373920. Its totient is φ = 3202744320.

The previous prime is 12761668753. The next prime is 12761668819. The reversal of 12761668800 is 886616721.

It is a happy number.

12761668800 is a `hidden beast` number, since 1 + 27 + 616 + 6 + 8 + 8 + 0 + 0 = 666.

12761668800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 725712 + ... + 743088.

Almost surely, 2^12761668800 is an apocalyptic number.

12761668800 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 12761668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24630186960).

12761668800 is an abundant number, since it is smaller than the sum of its proper divisors (36498705120).

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

12761668800 is a wasteful number, since it uses less digits than its factorization.

12761668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17425 (or 17404 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12761668800 in words is "twelve billion, seven hundred sixty-one million, six hundred sixty-eight thousand, eight hundred".