9768245760 has 640 divisors, whose sum is σ = 42732264960. Its totient is φ = 2059665408.

The previous prime is 9768245759. The next prime is 9768245761. The reversal of 9768245760 is 675428679.

9768245760 is a `hidden beast` number, since 9 + 7 + 68 + 2 + 4 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9768245759) and next prime (9768245761).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 9768245697 and 9768245706.

It is not an unprimeable number, because it can be changed into a prime (9768245761) 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 63 ways as a sum of consecutive naturals, for example, 6289144 + ... + 6290696.

It is an arithmetic number, because the mean of its divisors is an integer number (66769164).

Almost surely, 2^9768245760 is an apocalyptic number.

9768245760 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 9768245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21366132480).

9768245760 is an abundant number, since it is smaller than the sum of its proper divisors (32964019200).

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

9768245760 is a wasteful number, since it uses less digits than its factorization.

9768245760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 9768245760 is about 98834.4361040220. The cubic root of 9768245760 is about 2137.6611242038.

The spelling of 9768245760 in words is "nine billion, seven hundred sixty-eight million, two hundred forty-five thousand, seven hundred sixty".