9668989440 has 640 divisors, whose sum is σ = 38171485440. Its totient is φ = 2329067520.

The previous prime is 9668989433. The next prime is 9668989483. The reversal of 9668989440 is 449898669.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61585842 + ... + 61585998.

It is an arithmetic number, because the mean of its divisors is an integer number (59642946).

Almost surely, 2^9668989440 is an apocalyptic number.

9668989440 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 9668989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19085742720).

9668989440 is an abundant number, since it is smaller than the sum of its proper divisors (28502496000).

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

9668989440 is an equidigital number, since it uses as much as digits as its factorization.

9668989440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The square root of 9668989440 is about 98331.0197241949. The cubic root of 9668989440 is about 2130.3961175611.

The spelling of 9668989440 in words is "nine billion, six hundred sixty-eight million, nine hundred eighty-nine thousand, four hundred forty".