9665790480 has 320 divisors, whose sum is σ = 35944128000. Its totient is φ = 2380105728.

The previous prime is 9665790469. The next prime is 9665790529. The reversal of 9665790480 is 840975669.

9665790480 is a `hidden beast` number, since 9 + 66 + 579 + 0 + 4 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1437366 + ... + 1444074.

It is an arithmetic number, because the mean of its divisors is an integer number (112325400).

Almost surely, 2^9665790480 is an apocalyptic number.

9665790480 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 9665790480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17972064000).

9665790480 is an abundant number, since it is smaller than the sum of its proper divisors (26278337520).

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

9665790480 is a wasteful number, since it uses less digits than its factorization.

9665790480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6783 (or 6771 counting only the distinct ones).

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

The square root of 9665790480 is about 98314.7520975362. The cubic root of 9665790480 is about 2130.1611463084.

The spelling of 9665790480 in words is "nine billion, six hundred sixty-five million, seven hundred ninety thousand, four hundred eighty".