6829326000 has 960 divisors, whose sum is σ = 29770416000. Its totient is φ = 1490227200.

The previous prime is 6829325999. The next prime is 6829326073. The reversal of 6829326000 is 6239286.

It is a super-2 number, since 2×6829326000² = 93279387228552000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76733956 + ... + 76734044.

It is an arithmetic number, because the mean of its divisors is an integer number (31010850).

Almost surely, 2^6829326000 is an apocalyptic number.

6829326000 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 6829326000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14885208000).

6829326000 is an abundant number, since it is smaller than the sum of its proper divisors (22941090000).

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

6829326000 is a wasteful number, since it uses less digits than its factorization.

6829326000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6829326000 is about 82639.7362048065. The cubic root of 6829326000 is about 1897.2560576276.

The spelling of 6829326000 in words is "six billion, eight hundred twenty-nine million, three hundred twenty-six thousand".