968804928000 has 2560 divisors, whose sum is σ = 4521370613760. Its totient is φ = 199065600000.

The previous prime is 968804927999. The next prime is 968804928011. The reversal of 968804928000 is 829408869.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9592127950 + ... + 9592128050.

It is an arithmetic number, because the mean of its divisors is an integer number (1766160396).

Almost surely, 2^968804928000 is an apocalyptic number.

968804928000 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 968804928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2260685306880).

968804928000 is an abundant number, since it is smaller than the sum of its proper divisors (3552565685760).

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

968804928000 is a wasteful number, since it uses less digits than its factorization.

968804928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 968804928000 in words is "nine hundred sixty-eight billion, eight hundred four million, nine hundred twenty-eight thousand".