9666888000 has 448 divisors, whose sum is σ = 39804051456. Its totient is φ = 2008320000.

The previous prime is 9666887977. The next prime is 9666888031. The reversal of 9666888000 is 8886669.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

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, 1845385 + ... + 1850615.

Almost surely, 2^9666888000 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 9666888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19902025728).

9666888000 is an abundant number, since it is smaller than the sum of its proper divisors (30137163456).

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

9666888000 is a wasteful number, since it uses less digits than its factorization.

9666888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5279 (or 5259 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The square root of 9666888000 is about 98320.3336039906. Note that the first 3 decimals coincide. The cubic root of 9666888000 is about 2130.2417676152.

The spelling of 9666888000 in words is "nine billion, six hundred sixty-six million, eight hundred eighty-eight thousand".