9641812320 has 672 divisors, whose sum is σ = 39993307200. Its totient is φ = 2194698240.

The previous prime is 9641812309. The next prime is 9641812343. The reversal of 9641812320 is 232181469.

9641812320 is a `hidden beast` number, since 9 + 6 + 418 + 1 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 111 ways as a sum of consecutive naturals, for example, 40007400 + ... + 40007640.

It is an arithmetic number, because the mean of its divisors is an integer number (59513850).

Almost surely, 2^9641812320 is an apocalyptic number.

9641812320 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 9641812320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19996653600).

9641812320 is an abundant number, since it is smaller than the sum of its proper divisors (30351494880).

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

9641812320 is an equidigital number, since it uses as much as digits as its factorization.

9641812320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9641812320 is about 98192.7304844916. The cubic root of 9641812320 is about 2128.3982403336.

Adding to 9641812320 its reverse (232181469), we get a palindrome (9873993789).

The spelling of 9641812320 in words is "nine billion, six hundred forty-one million, eight hundred twelve thousand, three hundred twenty".