68960886400 has 384 divisors, whose sum is σ = 205307395200. Its totient is φ = 22386524160.

The previous prime is 68960886383. The next prime is 68960886497. The reversal of 68960886400 is 468806986.

It is a happy number.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

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, 34427799 + ... + 34429801.

It is an arithmetic number, because the mean of its divisors is an integer number (534654675).

Almost surely, 2^68960886400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68960886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102653697600).

68960886400 is an abundant number, since it is smaller than the sum of its proper divisors (136346508800).

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

68960886400 is a wasteful number, since it uses less digits than its factorization.

68960886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 55.

The spelling of 68960886400 in words is "sixty-eight billion, nine hundred sixty million, eight hundred eighty-six thousand, four hundred".