968645908800 has 336 divisors, whose sum is σ = 3542623465920. Its totient is φ = 257460664320.

The previous prime is 968645908757. The next prime is 968645908831. The reversal of 968645908800 is 8809546869.

It is a congruent number.

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, 13225882 + ... + 13298918.

It is an arithmetic number, because the mean of its divisors is an integer number (10543522220).

Almost surely, 2^968645908800 is an apocalyptic number.

968645908800 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 968645908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771311732960).

968645908800 is an abundant number, since it is smaller than the sum of its proper divisors (2573977557120).

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

968645908800 is a wasteful number, since it uses less digits than its factorization.

968645908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73375 (or 73354 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 968645908800 in words is "nine hundred sixty-eight billion, six hundred forty-five million, nine hundred eight thousand, eight hundred".