6829261056 has 54 divisors (see below), whose sum is σ = 19690449870. Its totient is φ = 2276419584.

The previous prime is 6829261037. The next prime is 6829261057. The reversal of 6829261056 is 6501629286.

6829261056 is a `hidden beast` number, since 6 + 8 + 29 + 2 + 610 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6234681600 + 594579456 = 78960^2 + 24384^2 .

It is not an unprimeable number, because it can be changed into a prime (6829261057) 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 5 ways as a sum of consecutive naturals, for example, 1479741 + ... + 1484348.

Almost surely, 2^6829261056 is an apocalyptic number.

It is an amenable number.

6829261056 is an abundant number, since it is smaller than the sum of its proper divisors (12861188814).

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

6829261056 is a wasteful number, since it uses less digits than its factorization.

6829261056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964111 (or 2964094 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 6829261056 is about 82639.3432694138. The cubic root of 6829261056 is about 1897.2500435745.

The spelling of 6829261056 in words is "six billion, eight hundred twenty-nine million, two hundred sixty-one thousand, fifty-six".