6829145820 has 288 divisors, whose sum is σ = 25202451456. Its totient is φ = 1461196800.

The previous prime is 6829145789. The next prime is 6829145821. The reversal of 6829145820 is 285419286.

6829145820 is a `hidden beast` number, since 68 + 2 + 9 + 1 + 4 + 582 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6829145821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4518865 + ... + 4520375.

It is an arithmetic number, because the mean of its divisors is an integer number (87508512).

Almost surely, 2^6829145820 is an apocalyptic number.

6829145820 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 6829145820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12601225728).

6829145820 is an abundant number, since it is smaller than the sum of its proper divisors (18373305636).

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

6829145820 is a wasteful number, since it uses less digits than its factorization.

6829145820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 6829145820 is about 82638.6460440876. The cubic root of 6829145820 is about 1897.2393722035.

The spelling of 6829145820 in words is "six billion, eight hundred twenty-nine million, one hundred forty-five thousand, eight hundred twenty".