9479164320 has 240 divisors, whose sum is σ = 33536748168. Its totient is φ = 2521497600.

The previous prime is 9479164319. The next prime is 9479164327. The reversal of 9479164320 is 234619749.

It is a happy number.

It is a Cunningham number, because it is equal to 97361²-1.

It can be written as a sum of positive squares in 4 ways, for example, as 8302125456 + 1177038864 = 91116^2 + 34308^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×9479164320² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9479164327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7788352 + ... + 7789568.

Almost surely, 2^9479164320 is an apocalyptic number.

9479164320 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 9479164320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16768374084).

9479164320 is an abundant number, since it is smaller than the sum of its proper divisors (24057583848).

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

9479164320 is a wasteful number, since it uses less digits than its factorization.

9479164320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 9479164320 is about 97360.9999948645. Note that the first 5 decimals coincide. The cubic root of 9479164320 is about 2116.3623032581.

The spelling of 9479164320 in words is "nine billion, four hundred seventy-nine million, one hundred sixty-four thousand, three hundred twenty".