9527321664 has 315 divisors, whose sum is σ = 32246296823. Its totient is φ = 2689295616.

The previous prime is 9527321641. The next prime is 9527321701. The reversal of 9527321664 is 4661237259.

The square root of 9527321664 is 97608.

It is a perfect power (a square), and thus also a powerful number.

9527321664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 114786967 + ... + 114787049.

Almost surely, 2^9527321664 is an apocalyptic number.

9527321664 is the 97608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9527321664

9527321664 is an abundant number, since it is smaller than the sum of its proper divisors (22718975159).

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

9527321664 is an frugal number, since it uses more digits than its factorization.

9527321664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 95 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The cubic root of 9527321664 is about 2119.9401952988.

The spelling of 9527321664 in words is "nine billion, five hundred twenty-seven million, three hundred twenty-one thousand, six hundred sixty-four".