6824708240 has 240 divisors, whose sum is σ = 19043906112. Its totient is φ = 2266887168.

The previous prime is 6824708183. The next prime is 6824708251. The reversal of 6824708240 is 428074286.

It is a super-2 number, since 2×6824708240² = 93153285122247795200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22230167 + ... + 22230473.

Almost surely, 2^6824708240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6824708240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9521953056).

6824708240 is an abundant number, since it is smaller than the sum of its proper divisors (12219197872).

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

6824708240 is a wasteful number, since it uses less digits than its factorization.

6824708240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 41.

The square root of 6824708240 is about 82611.7923785703. The cubic root of 6824708240 is about 1896.8283410163.

The spelling of 6824708240 in words is "six billion, eight hundred twenty-four million, seven hundred eight thousand, two hundred forty".