68675873011200 has 2160 divisors, whose sum is σ = 310356630904320. Its totient is φ = 14373810339840.

The previous prime is 68675873011181. The next prime is 68675873011247. The reversal of 68675873011200 is 211037857686.

It is a happy number.

68675873011200 is a `hidden beast` number, since 6 + 8 + 6 + 7 + 587 + 30 + 1 + 1 + 20 + 0 = 666.

68675873011200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 215 ways as a sum of consecutive naturals, for example, 9319561116 + ... + 9319568484.

Almost surely, 2^{68675873011200} is an apocalyptic number.

68675873011200 is a gapful number since it is divisible by the number (60) 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 68675873011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155178315452160).

68675873011200 is an abundant number, since it is smaller than the sum of its proper divisors (241680757893120).

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

68675873011200 is a wasteful number, since it uses less digits than its factorization.

68675873011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7557 (or 7526 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 68675873011200 in words is "sixty-eight trillion, six hundred seventy-five billion, eight hundred seventy-three million, eleven thousand, two hundred".