68958388800 has 672 divisors, whose sum is σ = 289259264000. Its totient is φ = 15654021120.

The previous prime is 68958388783. The next prime is 68958388841. The reversal of 68958388800 is 888385986.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49290501 + ... + 49291899.

Almost surely, 2^68958388800 is an apocalyptic number.

68958388800 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 68958388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144629632000).

68958388800 is an abundant number, since it is smaller than the sum of its proper divisors (220300875200).

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

68958388800 is a wasteful number, since it uses less digits than its factorization.

68958388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 68958388800 in words is "sixty-eight billion, nine hundred fifty-eight million, three hundred eighty-eight thousand, eight hundred".