9480965760 has 448 divisors, whose sum is σ = 38850641280. Its totient is φ = 2166331392.

The previous prime is 9480965609. The next prime is 9480965771. The reversal of 9480965760 is 675690849.

9480965760 is a `hidden beast` number, since 9 + 480 + 96 + 5 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 9480965697 and 9480965706.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3264469 + ... + 3267371.

Almost surely, 2^9480965760 is an apocalyptic number.

9480965760 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 9480965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19425320640).

9480965760 is an abundant number, since it is smaller than the sum of its proper divisors (29369675520).

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

9480965760 is an equidigital number, since it uses as much as digits as its factorization.

9480965760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2947 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 9480965760 is about 97370.2508983108. The cubic root of 9480965760 is about 2116.4963607233.

The spelling of 9480965760 in words is "nine billion, four hundred eighty million, nine hundred sixty-five thousand, seven hundred sixty".