9884958720 has 768 divisors, whose sum is σ = 41447479680. Its totient is φ = 1962934272.

The previous prime is 9884958697. The next prime is 9884958731. The reversal of 9884958720 is 278594889.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×9884958720² (a number of 21 digits) contains 22 as substring.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2704 × 1904 × 1920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 581468152 + ... + 581468168.

Almost surely, 2^9884958720 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 9884958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20723739840).

9884958720 is an abundant number, since it is smaller than the sum of its proper divisors (31562520960).

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

9884958720 is a wasteful number, since it uses less digits than its factorization.

9884958720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 60.

The square root of 9884958720 is about 99423.1297033039. The cubic root of 9884958720 is about 2146.1411742203.

The spelling of 9884958720 in words is "nine billion, eight hundred eighty-four million, nine hundred fifty-eight thousand, seven hundred twenty".