9958304720 has 240 divisors, whose sum is σ = 28896900480. Its totient is φ = 3124832256.

The previous prime is 9958304701. The next prime is 9958304737. The reversal of 9958304720 is 274038599.

It is a happy number.

9958304720 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 47 ways as a sum of consecutive naturals, for example, 13154582 + ... + 13155338.

It is an arithmetic number, because the mean of its divisors is an integer number (120403752).

Almost surely, 2^9958304720 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 9958304720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14448450240).

9958304720 is an abundant number, since it is smaller than the sum of its proper divisors (18938595760).

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

9958304720 is a wasteful number, since it uses less digits than its factorization.

9958304720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 47.

The square root of 9958304720 is about 99791.3058337248. The cubic root of 9958304720 is about 2151.4361934692.

The spelling of 9958304720 in words is "nine billion, nine hundred fifty-eight million, three hundred four thousand, seven hundred twenty".