9966008376 has 96 divisors (see below), whose sum is σ = 28257989760. Its totient is φ = 3167055936.

The previous prime is 9966008341. The next prime is 9966008431. The reversal of 9966008376 is 6738006699.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498591 + ... + 518193.

It is an arithmetic number, because the mean of its divisors is an integer number (294354060).

Almost surely, 2^9966008376 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 9966008376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14128994880).

9966008376 is an abundant number, since it is smaller than the sum of its proper divisors (18291981384).

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

9966008376 is a wasteful number, since it uses less digits than its factorization.

9966008376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19945 (or 19938 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 9966008376 is about 99829.8972051960. The cubic root of 9966008376 is about 2151.9908277779.

The spelling of 9966008376 in words is "nine billion, nine hundred sixty-six million, eight thousand, three hundred seventy-six".