9564657648 has 160 divisors (see below), whose sum is σ = 30840026112. Its totient is φ = 2486937600.

The previous prime is 9564657647. The next prime is 9564657673. The reversal of 9564657648 is 8467564659.

It is a junction number, because it is equal to n+sod(n) for n = 9564657591 and 9564657600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9564657643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294708 + ... + 325548.

Almost surely, 2^9564657648 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 9564657648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15420013056).

9564657648 is an abundant number, since it is smaller than the sum of its proper divisors (21275368464).

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

9564657648 is a wasteful number, since it uses less digits than its factorization.

9564657648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30943 (or 30937 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 60.

The square root of 9564657648 is about 97799.0677256179. The cubic root of 9564657648 is about 2122.7058164097.

The spelling of 9564657648 in words is "nine billion, five hundred sixty-four million, six hundred fifty-seven thousand, six hundred forty-eight".