9668313600 has 480 divisors, whose sum is σ = 35656574976. Its totient is φ = 2289254400.

The previous prime is 9668313587. The next prime is 9668313637. The reversal of 9668313600 is 63138669.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19852557 + ... + 19853043.

Almost surely, 2^9668313600 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 9668313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17828287488).

9668313600 is an abundant number, since it is smaller than the sum of its proper divisors (25988261376).

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

9668313600 is a wasteful number, since it uses less digits than its factorization.

9668313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 9668313600 is about 98327.5831087086. The cubic root of 9668313600 is about 2130.3464798173.

The spelling of 9668313600 in words is "nine billion, six hundred sixty-eight million, three hundred thirteen thousand, six hundred".