968562604800 has 1944 divisors, whose sum is σ = 4373028441600. Its totient is φ = 199775600640.

The previous prime is 968562604799. The next prime is 968562604817. The reversal of 968562604800 is 8406265869.

It is a happy number.

968562604800 is a `hidden beast` number, since 9 + 6 + 8 + 5 + 626 + 0 + 4 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×968562604800² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4052563081 + ... + 4052563319.

Almost surely, 2^968562604800 is an apocalyptic number.

968562604800 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 968562604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2186514220800).

968562604800 is an abundant number, since it is smaller than the sum of its proper divisors (3404465836800).

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

968562604800 is a wasteful number, since it uses less digits than its factorization.

968562604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 968562604800 in words is "nine hundred sixty-eight billion, five hundred sixty-two million, six hundred four thousand, eight hundred".