68658821025696 has 384 divisors, whose sum is σ = 231821881804800. Its totient is φ = 19563796961280.

The previous prime is 68658821025689. The next prime is 68658821025703. The reversal of 68658821025696 is 69652012885686.

68658821025696 is a `hidden beast` number, since 6 + 8 + 6 + 58 + 8 + 2 + 1 + 0 + 2 + 569 + 6 = 666.

68658821025696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (68658821025689) and next prime (68658821025703).

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

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 63 ways as a sum of consecutive naturals, for example, 10235100 + ... + 15558756.

It is an arithmetic number, because the mean of its divisors is an integer number (603702817200).

Almost surely, 2^{68658821025696} is an apocalyptic number.

68658821025696 is a gapful number since it is divisible by the number (66) 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 68658821025696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115910940902400).

68658821025696 is an abundant number, since it is smaller than the sum of its proper divisors (163163060779104).

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

68658821025696 is a wasteful number, since it uses less digits than its factorization.

68658821025696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5323769 (or 5323755 counting only the distinct ones).

The product of its (nonzero) digits is 597196800, while the sum is 72.

The spelling of 68658821025696 in words is "sixty-eight trillion, six hundred fifty-eight billion, eight hundred twenty-one million, twenty-five thousand, six hundred ninety-six".