9574577664 has 160 divisors (see below), whose sum is σ = 26473734144. Its totient is φ = 3071754240.

The previous prime is 9574577651. The next prime is 9574577681. The reversal of 9574577664 is 4667754759.

It is a junction number, because it is equal to n+sod(n) for n = 9574577598 and 9574577607.

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 15 ways as a sum of consecutive naturals, for example, 11094097 + ... + 11094959.

Almost surely, 2^9574577664 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 9574577664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13236867072).

9574577664 is an abundant number, since it is smaller than the sum of its proper divisors (16899156480).

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

9574577664 is a wasteful number, since it uses less digits than its factorization.

9574577664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1132 counting only the distinct ones).

The product of its digits is 44452800, while the sum is 60.

The square root of 9574577664 is about 97849.7708939576. The cubic root of 9574577664 is about 2123.4394199445.

The spelling of 9574577664 in words is "nine billion, five hundred seventy-four million, five hundred seventy-seven thousand, six hundred sixty-four".