9798384960 has 840 divisors, whose sum is σ = 42729927240. Its totient is φ = 2048385024.

The previous prime is 9798384919. The next prime is 9798384961. The reversal of 9798384960 is 694838979.

It can be written as a sum of positive squares in 4 ways, for example, as 499254336 + 9299130624 = 22344^2 + 96432^2 .

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9798384961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 89893386 + ... + 89893494.

It is an arithmetic number, because the mean of its divisors is an integer number (50868961).

Almost surely, 2^9798384960 is an apocalyptic number.

9798384960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9798384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21364963620).

9798384960 is an abundant number, since it is smaller than the sum of its proper divisors (32931542280).

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

9798384960 is a wasteful number, since it uses less digits than its factorization.

9798384960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The square root of 9798384960 is about 98986.7918461852. The cubic root of 9798384960 is about 2139.8573987140.

The spelling of 9798384960 in words is "nine billion, seven hundred ninety-eight million, three hundred eighty-four thousand, nine hundred sixty".