6829696960 has 112 divisors (see below), whose sum is σ = 17262408960. Its totient is φ = 2564833280.

The previous prime is 6829696883. The next prime is 6829696961. The reversal of 6829696960 is 696969286.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6829696961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2604450 + ... + 2607070.

Almost surely, 2^6829696960 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 6829696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8631204480).

6829696960 is an abundant number, since it is smaller than the sum of its proper divisors (10432712000).

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

6829696960 is a wasteful number, since it uses less digits than its factorization.

6829696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 61.

The square root of 6829696960 is about 82641.9806151813. The cubic root of 6829696960 is about 1897.2904091563.

The spelling of 6829696960 in words is "six billion, eight hundred twenty-nine million, six hundred ninety-six thousand, nine hundred sixty".