832768508889 has 64 divisors (see below), whose sum is σ = 1286539041280. Its totient is φ = 531900794880.

The previous prime is 832768508881. The next prime is 832768508921. The reversal of 832768508889 is 988805867238.

832768508889 is a `hidden beast` number, since 8 + 32 + 7 + 6 + 8 + 508 + 8 + 89 = 666.

It is not a de Polignac number, because 832768508889 - 2³ = 832768508881 is a prime.

It is a super-4 number, since 4×832768508889⁴ (a number of 49 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (832768508881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46007889 + ... + 46025985.

It is an arithmetic number, because the mean of its divisors is an integer number (20102172520).

Almost surely, 2^832768508889 is an apocalyptic number.

It is an amenable number.

832768508889 is a deficient number, since it is larger than the sum of its proper divisors (453770532391).

832768508889 is a wasteful number, since it uses less digits than its factorization.

832768508889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18847 (or 18841 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 832768508889 in words is "eight hundred thirty-two billion, seven hundred sixty-eight million, five hundred eight thousand, eight hundred eighty-nine".