68938444800 has 936 divisors, whose sum is σ = 270415708160. Its totient is φ = 16721510400.

The previous prime is 68938444793. The next prime is 68938444843. The reversal of 68938444800 is 844483986.

68938444800 is a `hidden beast` number, since 6 + 89 + 3 + 84 + 4 + 480 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 542822337 + ... + 542822463.

Almost surely, 2^68938444800 is an apocalyptic number.

68938444800 is a gapful number since it is divisible by the number (60) 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 68938444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135207854080).

68938444800 is an abundant number, since it is smaller than the sum of its proper divisors (201477263360).

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

68938444800 is a wasteful number, since it uses less digits than its factorization.

68938444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 68938444800 in words is "sixty-eight billion, nine hundred thirty-eight million, four hundred forty-four thousand, eight hundred".