968841032320 has 512 divisors, whose sum is σ = 2959250112000. Its totient is φ = 295275331584.

The previous prime is 968841032317. The next prime is 968841032333. The reversal of 968841032320 is 23230148869.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 591838542 + ... + 591840178.

It is an arithmetic number, because the mean of its divisors is an integer number (5779785375).

Almost surely, 2^968841032320 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 968841032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479625056000).

968841032320 is an abundant number, since it is smaller than the sum of its proper divisors (1990409079680).

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

968841032320 is a wasteful number, since it uses less digits than its factorization.

968841032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 968841032320 in words is "nine hundred sixty-eight billion, eight hundred forty-one million, thirty-two thousand, three hundred twenty".