9918720000 has 960 divisors, whose sum is σ = 42983740800. Its totient is φ = 2211840000.

The previous prime is 9918719971. The next prime is 9918720017. The reversal of 9918720000 is 278199.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 241919980 + ... + 241920020.

It is an arithmetic number, because the mean of its divisors is an integer number (44774730).

Almost surely, 2^9918720000 is an apocalyptic number.

9918720000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9918720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21491870400).

9918720000 is an abundant number, since it is smaller than the sum of its proper divisors (33065020800).

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

9918720000 is an equidigital number, since it uses as much as digits as its factorization.

9918720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 9918720000 is about 99592.7708219829. The cubic root of 9918720000 is about 2148.5817219106.

Adding to 9918720000 its reverse (278199), we get a palindrome (9918998199).

The spelling of 9918720000 in words is "nine billion, nine hundred eighteen million, seven hundred twenty thousand".