9958443264 has 729 divisors, whose sum is σ = 38122961331. Its totient is φ = 2586608640.

The previous prime is 9958443247. The next prime is 9958443283. The reversal of 9958443264 is 4623448599.

The square root of 9958443264 is 99792.

It is a perfect power (a square), and thus also a powerful number.

9958443264 is a `hidden beast` number, since 99 + 58 + 443 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (729).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 9958443264.

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 80 ways as a sum of consecutive naturals, for example, 905313019 + ... + 905313029.

Almost surely, 2^9958443264 is an apocalyptic number.

9958443264 is the 99792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9958443264

9958443264 is an abundant number, since it is smaller than the sum of its proper divisors (28164518067).

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

9958443264 is an frugal number, since it uses more digits than its factorization.

9958443264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 23 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The cubic root of 9958443264 is about 2151.4461706424.

The spelling of 9958443264 in words is "nine billion, nine hundred fifty-eight million, four hundred forty-three thousand, two hundred sixty-four".