68861257344 has 192 divisors, whose sum is σ = 219217078080. Its totient is φ = 20572876800.

The previous prime is 68861257279. The next prime is 68861257379. The reversal of 68861257344 is 44375216886.

It is a happy number.

68861257344 is a `hidden beast` number, since 6 + 8 + 8 + 61 + 2 + 573 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 861444 + ... + 937980.

It is an arithmetic number, because the mean of its divisors is an integer number (1141755615).

Almost surely, 2^68861257344 is an apocalyptic number.

68861257344 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 68861257344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109608539040).

68861257344 is an abundant number, since it is smaller than the sum of its proper divisors (150355820736).

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

68861257344 is a wasteful number, since it uses less digits than its factorization.

68861257344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76639 (or 76624 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 68861257344 in words is "sixty-eight billion, eight hundred sixty-one million, two hundred fifty-seven thousand, three hundred forty-four".