68079200716800 has 5184 divisors, whose sum is σ = 332629819704000. Its totient is φ = 13564489236480.

The previous prime is 68079200716733. The next prime is 68079200716837. The reversal of 68079200716800 is 861700297086.

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 217505433444 + ... + 217505433756.

It is an arithmetic number, because the mean of its divisors is an integer number (64164702875).

Almost surely, 2^{68079200716800} is an apocalyptic number.

68079200716800 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 68079200716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166314909852000).

68079200716800 is an abundant number, since it is smaller than the sum of its proper divisors (264550618987200).

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

68079200716800 is a wasteful number, since it uses less digits than its factorization.

68079200716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 68079200716800 in words is "sixty-eight trillion, seventy-nine billion, two hundred million, seven hundred sixteen thousand, eight hundred".