6829568460 has 576 divisors, whose sum is σ = 26135875584. Its totient is φ = 1474329600.

The previous prime is 6829568441. The next prime is 6829568461. The reversal of 6829568460 is 648659286.

It is a happy number.

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 = 6829568397 and 6829568406.

It is not an unprimeable number, because it can be changed into a prime (6829568461) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 21544222 + ... + 21544538.

It is an arithmetic number, because the mean of its divisors is an integer number (45374784).

Almost surely, 2^6829568460 is an apocalyptic number.

6829568460 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 6829568460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13067937792).

6829568460 is an abundant number, since it is smaller than the sum of its proper divisors (19306307124).

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

6829568460 is a wasteful number, since it uses less digits than its factorization.

6829568460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 6829568460 is about 82641.2031616191. The cubic root of 6829568460 is about 1897.2785099780.

The spelling of 6829568460 in words is "six billion, eight hundred twenty-nine million, five hundred sixty-eight thousand, four hundred sixty".