68251892800 has 672 divisors, whose sum is σ = 219060979200. Its totient is φ = 20340080640.

The previous prime is 68251892749. The next prime is 68251892809. The reversal of 68251892800 is 829815286.

It is not an unprimeable number, because it can be changed into a prime (68251892809) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 298043086 + ... + 298043314.

It is an arithmetic number, because the mean of its divisors is an integer number (325983600).

Almost surely, 2^68251892800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68251892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109530489600).

68251892800 is an abundant number, since it is smaller than the sum of its proper divisors (150809086400).

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

68251892800 is a wasteful number, since it uses less digits than its factorization.

68251892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 49.

The spelling of 68251892800 in words is "sixty-eight billion, two hundred fifty-one million, eight hundred ninety-two thousand, eight hundred".