68116924224 has 336 divisors, whose sum is σ = 208691683200. Its totient is φ = 21201481728.

The previous prime is 68116924217. The next prime is 68116924241. The reversal of 68116924224 is 42242961186.

It is a happy number.

68116924224 is a `hidden beast` number, since 68 + 1 + 169 + 2 + 422 + 4 = 666.

68116924224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 68116924224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189740557 + ... + 189740915.

It is an arithmetic number, because the mean of its divisors is an integer number (621106200).

Almost surely, 2^68116924224 is an apocalyptic number.

68116924224 is a gapful number since it is divisible by the number (64) 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 68116924224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104345841600).

68116924224 is an abundant number, since it is smaller than the sum of its proper divisors (140574758976).

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

68116924224 is a wasteful number, since it uses less digits than its factorization.

68116924224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 737 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 68116924224 in words is "sixty-eight billion, one hundred sixteen million, nine hundred twenty-four thousand, two hundred twenty-four".