16782833268 has 36 divisors (see below), whose sum is σ = 42516144580. Its totient is φ = 5582030976.

The previous prime is 16782833257. The next prime is 16782833299. The reversal of 16782833268 is 86233828761.

16782833268 is a `hidden beast` number, since 167 + 82 + 83 + 326 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16176787344 + 606045924 = 127188^2 + 24618^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 493603 + ... + 526506.

Almost surely, 2^16782833268 is an apocalyptic number.

16782833268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16782833268 is an abundant number, since it is smaller than the sum of its proper divisors (25733311312).

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

16782833268 is a wasteful number, since it uses less digits than its factorization.

16782833268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020576 (or 1020571 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 16782833268 in words is "sixteen billion, seven hundred eighty-two million, eight hundred thirty-three thousand, two hundred sixty-eight".