12668068800 has 378 divisors, whose sum is σ = 47096346752. Its totient is φ = 3229332480.

The previous prime is 12668068781. The next prime is 12668068817. The reversal of 12668068800 is 886086621.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 7616769 + ... + 7618431.

Almost surely, 2^12668068800 is an apocalyptic number.

12668068800 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 12668068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23548173376).

12668068800 is an abundant number, since it is smaller than the sum of its proper divisors (34428277952).

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

12668068800 is a wasteful number, since it uses less digits than its factorization.

12668068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 12668068800 in words is "twelve billion, six hundred sixty-eight million, sixty-eight thousand, eight hundred".