9966434688 has 192 divisors, whose sum is σ = 34705026720. Its totient is φ = 2680012800.

The previous prime is 9966434641. The next prime is 9966434713. The reversal of 9966434688 is 8864346699.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100738 + ... + 173438.

Almost surely, 2^9966434688 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 9966434688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17352513360).

9966434688 is an abundant number, since it is smaller than the sum of its proper divisors (24738592032).

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

9966434688 is a wasteful number, since it uses less digits than its factorization.

9966434688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72745 (or 72730 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The square root of 9966434688 is about 99832.0323743837. The cubic root of 9966434688 is about 2152.0215122940.

The spelling of 9966434688 in words is "nine billion, nine hundred sixty-six million, four hundred thirty-four thousand, six hundred eighty-eight".