9984518880 has 192 divisors, whose sum is σ = 38058854400. Its totient is φ = 2147917824.

The previous prime is 9984518861. The next prime is 9984518909. The reversal of 9984518880 is 888154899.

9984518880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 31 ways as a sum of consecutive naturals, for example, 30280 + ... + 144519.

It is an arithmetic number, because the mean of its divisors is an integer number (198223200).

Almost surely, 2^9984518880 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 9984518880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19029427200).

9984518880 is an abundant number, since it is smaller than the sum of its proper divisors (28074335520).

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

9984518880 is a wasteful number, since it uses less digits than its factorization.

9984518880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174841 (or 174833 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 60.

The square root of 9984518880 is about 99922.5644186537. The cubic root of 9984518880 is about 2153.3223470915.

The spelling of 9984518880 in words is "nine billion, nine hundred eighty-four million, five hundred eighteen thousand, eight hundred eighty".