68093964082368 has 672 divisors, whose sum is σ = 241477912166400. Its totient is φ = 17918573967360.

The previous prime is 68093964082327. The next prime is 68093964082381. The reversal of 68093964082368 is 86328046939086.

68093964082368 is a `hidden beast` number, since 68 + 0 + 9 + 3 + 96 + 40 + 82 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 68093964082296 and 68093964082305.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 572028871 + ... + 572147897.

It is an arithmetic number, because the mean of its divisors is an integer number (359342131200).

Almost surely, 2^{68093964082368} 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 68093964082368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120738956083200).

68093964082368 is an abundant number, since it is smaller than the sum of its proper divisors (173383948084032).

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

68093964082368 is a wasteful number, since it uses less digits than its factorization.

68093964082368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119305 (or 119292 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 72.

The spelling of 68093964082368 in words is "sixty-eight trillion, ninety-three billion, nine hundred sixty-four million, eighty-two thousand, three hundred sixty-eight".