6685828128 has 252 divisors, whose sum is σ = 22961033550. Its totient is φ = 1909910016.

The previous prime is 6685828099. The next prime is 6685828181. The reversal of 6685828128 is 8218285866.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6063425424 + 622402704 = 77868^2 + 24948^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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

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 41 ways as a sum of consecutive naturals, for example, 1140148 + ... + 1145996.

Almost surely, 2^6685828128 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 6685828128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11480516775).

6685828128 is an abundant number, since it is smaller than the sum of its proper divisors (16275205422).

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

6685828128 is an equidigital number, since it uses as much as digits as its factorization.

6685828128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5891 (or 5861 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The square root of 6685828128 is about 81766.9134063406. The cubic root of 6685828128 is about 1883.8734955019.

The spelling of 6685828128 in words is "six billion, six hundred eighty-five million, eight hundred twenty-eight thousand, one hundred twenty-eight".