9680098627584 has 3120 divisors, whose sum is σ = 40072599952000. Its totient is φ = 2317601341440.

The previous prime is 9680098627583. The next prime is 9680098627613. The reversal of 9680098627584 is 4857268900869.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9680098627583) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 261624287214 + ... + 261624287250.

Almost surely, 2^{9680098627584} 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 9680098627584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20036299976000).

9680098627584 is an abundant number, since it is smaller than the sum of its proper divisors (30392501324416).

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

9680098627584 is a wasteful number, since it uses less digits than its factorization.

9680098627584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 9680098627584 in words is "nine trillion, six hundred eighty billion, ninety-eight million, six hundred twenty-seven thousand, five hundred eighty-four".