968450592960 has 1120 divisors, whose sum is σ = 3812117506560. Its totient is φ = 232285667328.

The previous prime is 968450592931. The next prime is 968450592961. The reversal of 968450592960 is 69295054869.

968450592960 is a `hidden beast` number, since 9 + 6 + 8 + 450 + 5 + 92 + 96 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (968450592961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2186118499 + ... + 2186118941.

Almost surely, 2^968450592960 is an apocalyptic number.

968450592960 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 968450592960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906058753280).

968450592960 is an abundant number, since it is smaller than the sum of its proper divisors (2843666913600).

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

968450592960 is a wasteful number, since it uses less digits than its factorization.

968450592960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 968450592960 in words is "nine hundred sixty-eight billion, four hundred fifty million, five hundred ninety-two thousand, nine hundred sixty".