968569728000 has 704 divisors, whose sum is σ = 3703147588608. Its totient is φ = 220122316800.

The previous prime is 968569727981. The next prime is 968569728013. The reversal of 968569728000 is 827965869.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 518783067 + ... + 518784933.

Almost surely, 2^968569728000 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 968569728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851573794304).

968569728000 is an abundant number, since it is smaller than the sum of its proper divisors (2734577860608).

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

968569728000 is a wasteful number, since it uses less digits than its factorization.

968569728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 968569728000 in words is "nine hundred sixty-eight billion, five hundred sixty-nine million, seven hundred twenty-eight thousand".