6829095083840 has 56 divisors (see below), whose sum is σ = 17218358133192. Its totient is φ = 2570953441280.

The previous prime is 6829095083773. The next prime is 6829095083843. The reversal of 6829095083840 is 483805909286.

It can be written as a sum of positive squares in 4 ways, for example, as 3088089231616 + 3741005852224 = 1757296^2 + 1934168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6829095083843) 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, 627668741 + ... + 627679620.

Almost surely, 2^{6829095083840} is an apocalyptic number.

It is an amenable number.

6829095083840 is an abundant number, since it is smaller than the sum of its proper divisors (10389263049352).

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

6829095083840 is a wasteful number, since it uses less digits than its factorization.

6829095083840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255348395 (or 1255348385 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 62.

The spelling of 6829095083840 in words is "six trillion, eight hundred twenty-nine billion, ninety-five million, eighty-three thousand, eight hundred forty".