9668198400 has 408 divisors, whose sum is σ = 36666325824. Its totient is φ = 2202009600.

The previous prime is 9668198399. The next prime is 9668198413. The reversal of 9668198400 is 48918669.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34406260 + ... + 34406540.

Almost surely, 2^9668198400 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 9668198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18333162912).

9668198400 is an abundant number, since it is smaller than the sum of its proper divisors (26998127424).

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

9668198400 is an equidigital number, since it uses as much as digits as its factorization.

9668198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 9668198400 is about 98326.9973099962. The cubic root of 9668198400 is about 2130.3380186076.

The spelling of 9668198400 in words is "nine billion, six hundred sixty-eight million, one hundred ninety-eight thousand, four hundred".