68972413106688 has 960 divisors, whose sum is σ = 236912617455360. Its totient is φ = 17362682118144.

The previous prime is 68972413106671. The next prime is 68972413106717. The reversal of 68972413106688 is 88660131427986.

68972413106688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (69).

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 95 ways as a sum of consecutive naturals, for example, 56861015970 + ... + 56861017182.

It is an arithmetic number, because the mean of its divisors is an integer number (246783976516).

Almost surely, 2^{68972413106688} 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 68972413106688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118456308727680).

68972413106688 is an abundant number, since it is smaller than the sum of its proper divisors (167940204348672).

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

68972413106688 is a wasteful number, since it uses less digits than its factorization.

68972413106688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 69.

The spelling of 68972413106688 in words is "sixty-eight trillion, nine hundred seventy-two billion, four hundred thirteen million, one hundred six thousand, six hundred eighty-eight".