9645083320320 has 1120 divisors, whose sum is σ = 40192400793600. Its totient is φ = 2166916644864.

The previous prime is 9645083320303. The next prime is 9645083320387. The reversal of 9645083320320 is 230233805469.

9645083320320 is a `hidden beast` number, since 9 + 64 + 508 + 33 + 20 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1370231361 + ... + 1370238399.

Almost surely, 2^{9645083320320} is an apocalyptic number.

9645083320320 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 9645083320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20096200396800).

9645083320320 is an abundant number, since it is smaller than the sum of its proper divisors (30547317473280).

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

9645083320320 is an equidigital number, since it uses as much as digits as its factorization.

9645083320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7148 (or 7115 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 9645083320320 in words is "nine trillion, six hundred forty-five billion, eighty-three million, three hundred twenty thousand, three hundred twenty".