968648800608 has 168 divisors, whose sum is σ = 2863724067288. Its totient is φ = 322375790592.

The previous prime is 968648800607. The next prime is 968648800619. The reversal of 968648800608 is 806008846869.

968648800608 is a `hidden beast` number, since 96 + 8 + 6 + 488 + 0 + 0 + 60 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968648800607) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14967616 + ... + 15032192.

It is an arithmetic number, because the mean of its divisors is an integer number (17045976591).

Almost surely, 2^968648800608 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 968648800608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431862033644).

968648800608 is an abundant number, since it is smaller than the sum of its proper divisors (1895075266680).

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

968648800608 is an equidigital number, since it uses as much as digits as its factorization.

968648800608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65248 (or 65225 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 968648800608 in words is "nine hundred sixty-eight billion, six hundred forty-eight million, eight hundred thousand, six hundred eight".