9668989440000 has 2080 divisors, whose sum is σ = 39783238788480. Its totient is φ = 2329067520000.

The previous prime is 9668989439983. The next prime is 9668989440017. The reversal of 9668989440000 is 449898669.

9668989440000 is a `hidden beast` number, since 9 + 66 + 89 + 8 + 94 + 400 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9668989439983) and next prime (9668989440017).

It is a self number, because there is not a number n which added to its sum of digits gives 9668989440000.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 61585919922 + ... + 61585920078.

Almost surely, 2^{9668989440000} is an apocalyptic number.

9668989440000 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 9668989440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19891619394240).

9668989440000 is an abundant number, since it is smaller than the sum of its proper divisors (30114249348480).

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

9668989440000 is an frugal number, since it uses more digits than its factorization.

9668989440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 178 counting only the distinct ones).

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

The spelling of 9668989440000 in words is "nine trillion, six hundred sixty-eight billion, nine hundred eighty-nine million, four hundred forty thousand".