6824745279 has 24 divisors (see below), whose sum is σ = 10762752000. Its totient is φ = 4132898640.

The previous prime is 6824745233. The next prime is 6824745313. The reversal of 6824745279 is 9725474286.

6824745279 is a `hidden beast` number, since 6 + 82 + 47 + 452 + 79 = 666.

It is not a de Polignac number, because 6824745279 - 2⁸ = 6824745023 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6824745379) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 99672 + ... + 153570.

It is an arithmetic number, because the mean of its divisors is an integer number (448448000).

Almost surely, 2^6824745279 is an apocalyptic number.

6824745279 is a deficient number, since it is larger than the sum of its proper divisors (3938006721).

6824745279 is a wasteful number, since it uses less digits than its factorization.

6824745279 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55195 (or 55192 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 6824745279 is about 82612.0165532836. The cubic root of 6824745279 is about 1896.8317724938.

It can be divided in two parts, 68247 and 45279, that added together give a triangular number (113526 = T₄₇₆).

The spelling of 6824745279 in words is "six billion, eight hundred twenty-four million, seven hundred forty-five thousand, two hundred seventy-nine".