9946106880 has 176 divisors, whose sum is σ = 32061325824. Its totient is φ = 2631516160.

The previous prime is 9946106857. The next prime is 9946106903. The reversal of 9946106880 is 886016499.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9946106857) and next prime (9946106903).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2009689 + ... + 2014631.

It is an arithmetic number, because the mean of its divisors is an integer number (182166624).

Almost surely, 2^9946106880 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 9946106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16030662912).

9946106880 is an abundant number, since it is smaller than the sum of its proper divisors (22115218944).

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

9946106880 is a wasteful number, since it uses less digits than its factorization.

9946106880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5102 (or 5084 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 9946106880 is about 99730.1703598264. The cubic root of 9946106880 is about 2150.5574094666.

The spelling of 9946106880 in words is "nine billion, nine hundred forty-six million, one hundred six thousand, eight hundred eighty".