968980008960 has 1040 divisors, whose sum is σ = 3716428383360. Its totient is φ = 240789749760.

The previous prime is 968980008947. The next prime is 968980008989. The reversal of 968980008960 is 69800089869.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2237828904 + ... + 2237829336.

Almost surely, 2^968980008960 is an apocalyptic number.

968980008960 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 968980008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858214191680).

968980008960 is an abundant number, since it is smaller than the sum of its proper divisors (2747448374400).

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

968980008960 is a wasteful number, since it uses less digits than its factorization.

968980008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 968980008960 in words is "nine hundred sixty-eight billion, nine hundred eighty million, eight thousand, nine hundred sixty".