6829608960 has 520 divisors, whose sum is σ = 25689597120. Its totient is φ = 1732313088.

The previous prime is 6829608943. The next prime is 6829609001. The reversal of 6829608960 is 698069286.

6829608960 is a `hidden beast` number, since 6 + 8 + 29 + 608 + 9 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6829608897 and 6829608906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38154151 + ... + 38154329.

Almost surely, 2^6829608960 is an apocalyptic number.

6829608960 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 6829608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12844798560).

6829608960 is an abundant number, since it is smaller than the sum of its proper divisors (18859988160).

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

6829608960 is a wasteful number, since it uses less digits than its factorization.

6829608960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 6829608960 is about 82641.4481964105. The cubic root of 6829608960 is about 1897.2822603188.

The spelling of 6829608960 in words is "six billion, eight hundred twenty-nine million, six hundred eight thousand, nine hundred sixty".