9986346720 has 576 divisors, whose sum is σ = 41718208896. Its totient is φ = 2123366400.

The previous prime is 9986346683. The next prime is 9986346739. The reversal of 9986346720 is 276436899.

It is a happy number.

9986346720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 17307072 + ... + 17307648.

It is an arithmetic number, because the mean of its divisors is an integer number (72427446).

Almost surely, 2^9986346720 is an apocalyptic number.

9986346720 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 9986346720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20859104448).

9986346720 is an abundant number, since it is smaller than the sum of its proper divisors (31731862176).

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

9986346720 is a wasteful number, since it uses less digits than its factorization.

9986346720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 9986346720 is about 99931.7102825725. The cubic root of 9986346720 is about 2153.4537401214.

The spelling of 9986346720 in words is "nine billion, nine hundred eighty-six million, three hundred forty-six thousand, seven hundred twenty".