32440692769 has 27 divisors (see below), whose sum is σ = 34942731187. Its totient is φ = 30114893600.

The previous prime is 32440692751. The next prime is 32440692773. The reversal of 32440692769 is 96729604423.

The square root of 32440692769 is 180113.

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., 1563174369 + 30877518400 = 39537^2 + 175720^2 .

It is not a de Polignac number, because 32440692769 - 2⁵ = 32440692737 is a prime.

It is a super-2 number, since 2×32440692769² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32440692719) 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 26 ways as a sum of consecutive naturals, for example, 169846464 + ... + 169846654.

Almost surely, 2^32440692769 is an apocalyptic number.

32440692769 is the 180113-rd square number.

32440692769 is the 90057-th centered octagonal number.

It is an amenable number.

32440692769 is a deficient number, since it is larger than the sum of its proper divisors (2502038418).

32440692769 is an frugal number, since it uses more digits than its factorization.

32440692769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 52.

The spelling of 32440692769 in words is "thirty-two billion, four hundred forty million, six hundred ninety-two thousand, seven hundred sixty-nine".