9576545664 has 128 divisors (see below), whose sum is σ = 29194260480. Its totient is φ = 2724618240.

The previous prime is 9576545599. The next prime is 9576545669. The reversal of 9576545664 is 4665456759.

9576545664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9576545669) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 640417 + ... + 655199.

It is an arithmetic number, because the mean of its divisors is an integer number (228080160).

Almost surely, 2^9576545664 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 9576545664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14597130240).

9576545664 is an abundant number, since it is smaller than the sum of its proper divisors (19617714816).

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

9576545664 is a wasteful number, since it uses less digits than its factorization.

9576545664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15048 (or 15036 counting only the distinct ones).

The product of its digits is 27216000, while the sum is 57.

The square root of 9576545664 is about 97859.8266092885. The cubic root of 9576545664 is about 2123.5848969441.

The spelling of 9576545664 in words is "nine billion, five hundred seventy-six million, five hundred forty-five thousand, six hundred sixty-four".