6829028306040 has 64 divisors (see below), whose sum is σ = 20873633709600. Its totient is φ = 1786714322432.

The previous prime is 6829028306011. The next prime is 6829028306083. The reversal of 6829028306040 is 406038209286.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 536866935 + ... + 536879654.

Almost surely, 2^{6829028306040} is an apocalyptic number.

6829028306040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6829028306040 is an abundant number, since it is smaller than the sum of its proper divisors (14044605403560).

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

6829028306040 is a wasteful number, since it uses less digits than its factorization.

6829028306040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073746656 (or 1073746652 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 6829028306040 in words is "six trillion, eight hundred twenty-nine billion, twenty-eight million, three hundred six thousand, forty".