6829087356 has 144 divisors (see below), whose sum is σ = 21275800000. Its totient is φ = 1798557696.

The previous prime is 6829087351. The next prime is 6829087367. The reversal of 6829087356 is 6537809286.

It is a happy number.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6829087351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4090890 + ... + 4092558.

Almost surely, 2^6829087356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6829087356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10637900000).

6829087356 is an abundant number, since it is smaller than the sum of its proper divisors (14446712644).

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

6829087356 is a wasteful number, since it uses less digits than its factorization.

6829087356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2948 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 6829087356 is about 82638.2923105264. The cubic root of 6829087356 is about 1897.2339581287.

The spelling of 6829087356 in words is "six billion, eight hundred twenty-nine million, eighty-seven thousand, three hundred fifty-six".