9645656064 has 288 divisors, whose sum is σ = 29232796320. Its totient is φ = 2803302400.

The previous prime is 9645656057. The next prime is 9645656077. The reversal of 9645656064 is 4606565469.

It is a junction number, because it is equal to n+sod(n) for n = 9645655998 and 9645656016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163485667 + ... + 163485725.

It is an arithmetic number, because the mean of its divisors is an integer number (101502765).

Almost surely, 2^9645656064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9645656064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14616398160).

9645656064 is an abundant number, since it is smaller than the sum of its proper divisors (19587140256).

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

9645656064 is a wasteful number, since it uses less digits than its factorization.

9645656064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 51.

The square root of 9645656064 is about 98212.3009810889. The cubic root of 9645656064 is about 2128.6810340244.

The spelling of 9645656064 in words is "nine billion, six hundred forty-five million, six hundred fifty-six thousand, sixty-four".