9598758960 has 640 divisors, whose sum is σ = 38783232000. Its totient is φ = 1956261888.

The previous prime is 9598758937. The next prime is 9598758973. The reversal of 9598758960 is 698578959.

It is a junction number, because it is equal to n+sod(n) for n = 9598758891 and 9598758900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 505197831 + ... + 505197849.

It is an arithmetic number, because the mean of its divisors is an integer number (60598800).

Almost surely, 2^9598758960 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 9598758960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19391616000).

9598758960 is an abundant number, since it is smaller than the sum of its proper divisors (29184473040).

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

9598758960 is a wasteful number, since it uses less digits than its factorization.

9598758960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 66.

The square root of 9598758960 is about 97973.2563509043. The cubic root of 9598758960 is about 2125.2255509608.

The spelling of 9598758960 in words is "nine billion, five hundred ninety-eight million, seven hundred fifty-eight thousand, nine hundred sixty".