968888433600 has 504 divisors, whose sum is σ = 3686447052288. Its totient is φ = 250032614400.

The previous prime is 968888433593. The next prime is 968888433619. The reversal of 968888433600 is 6334888869.

968888433600 is a `hidden beast` number, since 9 + 68 + 8 + 88 + 433 + 60 + 0 = 666.

It is a congruent number.

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, 12012607 + ... + 12092993.

It is an arithmetic number, because the mean of its divisors is an integer number (7314379072).

Almost surely, 2^968888433600 is an apocalyptic number.

968888433600 is a gapful number since it is divisible by the number (90) 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 968888433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843223526144).

968888433600 is an abundant number, since it is smaller than the sum of its proper divisors (2717558618688).

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

968888433600 is a wasteful number, since it uses less digits than its factorization.

968888433600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80455 (or 80428 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 968888433600 in words is "nine hundred sixty-eight billion, eight hundred eighty-eight million, four hundred thirty-three thousand, six hundred".