968324600880 has 960 divisors, whose sum is σ = 4296257521920. Its totient is φ = 189637853184.

The previous prime is 968324600843. The next prime is 968324600911. The reversal of 968324600880 is 88006423869.

968324600880 is a `hidden beast` number, since 9 + 6 + 8 + 3 + 24 + 600 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×968324600880² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 81304366 + ... + 81316274.

It is an arithmetic number, because the mean of its divisors is an integer number (4475268252).

Almost surely, 2^968324600880 is an apocalyptic number.

968324600880 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 968324600880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148128760960).

968324600880 is an abundant number, since it is smaller than the sum of its proper divisors (3327932921040).

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

968324600880 is a wasteful number, since it uses less digits than its factorization.

968324600880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12038 (or 12029 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 968324600880 in words is "nine hundred sixty-eight billion, three hundred twenty-four million, six hundred thousand, eight hundred eighty".