6829031040 has 256 divisors, whose sum is σ = 23670299520. Its totient is φ = 1664630784.

The previous prime is 6829031009. The next prime is 6829031057. The reversal of 6829031040 is 401309286.

It is a junction number, because it is equal to n+sod(n) for n = 6829030992 and 6829031010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2669442 + ... + 2671998.

Almost surely, 2^6829031040 is an apocalyptic number.

6829031040 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 6829031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11835149760).

6829031040 is an abundant number, since it is smaller than the sum of its proper divisors (16841268480).

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

6829031040 is a wasteful number, since it uses less digits than its factorization.

6829031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 6829031040 is about 82637.9515719019. The cubic root of 6829031040 is about 1897.2287429408.

The spelling of 6829031040 in words is "six billion, eight hundred twenty-nine million, thirty-one thousand, forty".