6829774848 has 240 divisors, whose sum is σ = 21976194240. Its totient is φ = 2100805632.

The previous prime is 6829774843. The next prime is 6829774867. The reversal of 6829774848 is 8484779286.

6829774848 is a `hidden beast` number, since 6 + 82 + 9 + 77 + 484 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6829774843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2154961 + ... + 2158127.

It is an arithmetic number, because the mean of its divisors is an integer number (91567476).

Almost surely, 2^6829774848 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 6829774848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10988097120).

6829774848 is an abundant number, since it is smaller than the sum of its proper divisors (15146419392).

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

6829774848 is a wasteful number, since it uses less digits than its factorization.

6829774848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214 (or 3185 counting only the distinct ones).

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

The square root of 6829774848 is about 82642.4518513336. The cubic root of 6829774848 is about 1897.2976215600.

The spelling of 6829774848 in words is "six billion, eight hundred twenty-nine million, seven hundred seventy-four thousand, eight hundred forty-eight".