9727679641 has 27 divisors (see below), whose sum is σ = 10692571071. Its totient is φ = 8848204848.

The previous prime is 9727679587. The next prime is 9727679669. The reversal of 9727679641 is 1469767279.

The square root of 9727679641 is 98629.

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

It can be written as a sum of positive squares in only one way, i.e., 5100959241 + 4626720400 = 71421^2 + 68020^2 .

It is not a de Polignac number, because 9727679641 - 2⁷ = 9727679513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9727679341) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 54344490 + ... + 54344668.

Almost surely, 2^9727679641 is an apocalyptic number.

9727679641 is the 98629-th square number.

9727679641 is the 49315-th centered octagonal number.

It is an amenable number.

9727679641 is a deficient number, since it is larger than the sum of its proper divisors (964891430).

9727679641 is an equidigital number, since it uses as much as digits as its factorization.

9727679641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 227 counting only the distinct ones).

The product of its digits is 8001504, while the sum is 58.

The cubic root of 9727679641 is about 2134.6978854285.

The spelling of 9727679641 in words is "nine billion, seven hundred twenty-seven million, six hundred seventy-nine thousand, six hundred forty-one".