9645822216576 has 2592 divisors, whose sum is σ = 38740665155400. Its totient is φ = 2377046310912.

The previous prime is 9645822216551. The next prime is 9645822216607. The reversal of 9645822216576 is 6756122285469.

9645822216576 is a `hidden beast` number, since 9 + 6 + 4 + 58 + 2 + 2 + 2 + 1 + 6 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×9645822216576² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 132134550876 + ... + 132134550948.

Almost surely, 2^{9645822216576} is an apocalyptic number.

9645822216576 is a gapful number since it is divisible by the number (96) 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 9645822216576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19370332577700).

9645822216576 is an abundant number, since it is smaller than the sum of its proper divisors (29094842938824).

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

9645822216576 is an equidigital number, since it uses as much as digits as its factorization.

9645822216576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 117 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 9645822216576 in words is "nine trillion, six hundred forty-five billion, eight hundred twenty-two million, two hundred sixteen thousand, five hundred seventy-six".