6828250464 has 288 divisors, whose sum is σ = 24258963456. Its totient is φ = 1776660480.

The previous prime is 6828250463. The next prime is 6828250483. The reversal of 6828250464 is 4640528286.

6828250464 is a `hidden beast` number, since 6 + 8 + 2 + 82 + 504 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6828250463) 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 47 ways as a sum of consecutive naturals, for example, 1059219 + ... + 1065645.

It is an arithmetic number, because the mean of its divisors is an integer number (84232512).

Almost surely, 2^6828250464 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 6828250464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12129481728).

6828250464 is an abundant number, since it is smaller than the sum of its proper divisors (17430712992).

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

6828250464 is a wasteful number, since it uses less digits than its factorization.

6828250464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6498 (or 6487 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 6828250464 is about 82633.2285705938. The cubic root of 6828250464 is about 1897.1564541274.

The spelling of 6828250464 in words is "six billion, eight hundred twenty-eight million, two hundred fifty thousand, four hundred sixty-four".