6824299680 has 192 divisors, whose sum is σ = 26056598400. Its totient is φ = 1654364160.

The previous prime is 6824299679. The next prime is 6824299733. The reversal of 6824299680 is 869924286.

It is a happy number.

It is a super-2 number, since 2×6824299680² = 93142132244896204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 24285 + ... + 119324.

It is an arithmetic number, because the mean of its divisors is an integer number (135711450).

Almost surely, 2^6824299680 is an apocalyptic number.

6824299680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6824299680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13028299200).

6824299680 is an abundant number, since it is smaller than the sum of its proper divisors (19232298720).

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

6824299680 is a wasteful number, since it uses less digits than its factorization.

6824299680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143644 (or 143630 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 6824299680 is about 82609.3195710992. The cubic root of 6824299680 is about 1896.7904891588.

The spelling of 6824299680 in words is "six billion, eight hundred twenty-four million, two hundred ninety-nine thousand, six hundred eighty".