272680849782 has 144 divisors (see below), whose sum is σ = 662635681344. Its totient is φ = 80951270400.

The previous prime is 272680849751. The next prime is 272680849841. The reversal of 272680849782 is 287948086272.

272680849782 is a `hidden beast` number, since 2 + 7 + 2 + 68 + 0 + 8 + 497 + 82 = 666.

272680849782 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105159078 + ... + 105161670.

It is an arithmetic number, because the mean of its divisors is an integer number (4601636676).

Almost surely, 2^272680849782 is an apocalyptic number.

272680849782 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 272680849782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331317840672).

272680849782 is an abundant number, since it is smaller than the sum of its proper divisors (389954831562).

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

272680849782 is a wasteful number, since it uses less digits than its factorization.

272680849782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3587 (or 3573 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 272680849782 in words is "two hundred seventy-two billion, six hundred eighty million, eight hundred forty-nine thousand, seven hundred eighty-two".