6828761017 has 8 divisors (see below), whose sum is σ = 7354910024. Its totient is φ = 6302734848.

The previous prime is 6828760979. The next prime is 6828761029. The reversal of 6828761017 is 7101678286.

6828761017 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 427000896 + 6401760121 = 20664^2 + 80011^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-6828761017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6828761047) 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 7 ways as a sum of consecutive naturals, for example, 107983 + ... + 159115.

It is an arithmetic number, because the mean of its divisors is an integer number (919363753).

Almost surely, 2^6828761017 is an apocalyptic number.

It is an amenable number.

6828761017 is a deficient number, since it is larger than the sum of its proper divisors (526149007).

6828761017 is a wasteful number, since it uses less digits than its factorization.

6828761017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61419.

The product of its (nonzero) digits is 225792, while the sum is 46.

The square root of 6828761017 is about 82636.3177846157. The cubic root of 6828761017 is about 1897.2037368481.

The spelling of 6828761017 in words is "six billion, eight hundred twenty-eight million, seven hundred sixty-one thousand, seventeen".