9647320320 has 540 divisors, whose sum is σ = 37992676260. Its totient is φ = 2335703040.

The previous prime is 9647320303. The next prime is 9647320339. The reversal of 9647320320 is 230237469.

It is a happy number.

9647320320 is a `hidden beast` number, since 9 + 6 + 4 + 7 + 320 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3623076864 + 6024243456 = 60192^2 + 77616^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12544896 + ... + 12545664.

Almost surely, 2^9647320320 is an apocalyptic number.

9647320320 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 9647320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18996338130).

9647320320 is an abundant number, since it is smaller than the sum of its proper divisors (28345355940).

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

9647320320 is a wasteful number, since it uses less digits than its factorization.

9647320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 9647320320 is about 98220.7733628686. The cubic root of 9647320320 is about 2128.8034541213.

Adding to 9647320320 its reverse (230237469), we get a palindrome (9877557789).

The spelling of 9647320320 in words is "nine billion, six hundred forty-seven million, three hundred twenty thousand, three hundred twenty".