9666006577 has 18 divisors (see below), whose sum is σ = 10102881894. Its totient is φ = 9246104640.

The previous prime is 9666006509. The next prime is 9666006589. The reversal of 9666006577 is 7756006669.

It can be written as a sum of positive squares in 3 ways, for example, as 5758381456 + 3907625121 = 75884^2 + 62511^2 .

It is not a de Polignac number, because 9666006577 - 2¹⁵ = 9665973809 is a prime.

It is a super-3 number, since 3×9666006577³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (9666006277) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31080252 + ... + 31080562.

Almost surely, 2^9666006577 is an apocalyptic number.

It is an amenable number.

9666006577 is a deficient number, since it is larger than the sum of its proper divisors (436875317).

9666006577 is an frugal number, since it uses more digits than its factorization.

9666006577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 52.

The square root of 9666006577 is about 98315.8510973688. The cubic root of 9666006577 is about 2130.1770207818.

The spelling of 9666006577 in words is "nine billion, six hundred sixty-six million, six thousand, five hundred seventy-seven".