6829739316 has 96 divisors (see below), whose sum is σ = 18848592000. Its totient is φ = 2132469504.

The previous prime is 6829739311. The next prime is 6829739327. The reversal of 6829739316 is 6139379286.

6829739316 is a `hidden beast` number, since 6 + 8 + 297 + 39 + 316 = 666.

It is a super-2 number, since 2×6829739316² = 93290678249032295712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6829739311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163930 + ... + 201326.

It is an arithmetic number, because the mean of its divisors is an integer number (196339500).

Almost surely, 2^6829739316 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 6829739316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9424296000).

6829739316 is an abundant number, since it is smaller than the sum of its proper divisors (12018852684).

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

6829739316 is a wasteful number, since it uses less digits than its factorization.

6829739316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37518 (or 37510 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 6829739316 is about 82642.2368767932. The cubic root of 6829739316 is about 1897.2943313150.

The spelling of 6829739316 in words is "six billion, eight hundred twenty-nine million, seven hundred thirty-nine thousand, three hundred sixteen".