6829740000 has 360 divisors, whose sum is σ = 25559974440. Its totient is φ = 1724544000.

The previous prime is 6829739971. The next prime is 6829740013. The reversal of 6829740000 is 479286.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3419002 + ... + 3420998.

It is an arithmetic number, because the mean of its divisors is an integer number (70999929).

Almost surely, 2^6829740000 is an apocalyptic number.

6829740000 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 6829740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12779987220).

6829740000 is an abundant number, since it is smaller than the sum of its proper divisors (18730234440).

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

6829740000 is a wasteful number, since it uses less digits than its factorization.

6829740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6829740000 is about 82642.2410151128. The cubic root of 6829740000 is about 1897.2943946532.

The spelling of 6829740000 in words is "six billion, eight hundred twenty-nine million, seven hundred forty thousand".