68720366892800 has 648 divisors, whose sum is σ = 204508382625792. Its totient is φ = 22772026368000.

The previous prime is 68720366892799. The next prime is 68720366892869. The reversal of 68720366892800 is 829866302786.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8389736705 + ... + 8389744895.

It is an arithmetic number, because the mean of its divisors is an integer number (315599355904).

Almost surely, 2^{68720366892800} 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 68720366892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102254191312896).

68720366892800 is an abundant number, since it is smaller than the sum of its proper divisors (135788015732992).

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

68720366892800 is a wasteful number, since it uses less digits than its factorization.

68720366892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9125 (or 9099 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 65.

The spelling of 68720366892800 in words is "sixty-eight trillion, seven hundred twenty billion, three hundred sixty-six million, eight hundred ninety-two thousand, eight hundred".