6828424581888 has 540 divisors, whose sum is σ = 25507394700480. Its totient is φ = 1800899702784.

The previous prime is 6828424581883. The next prime is 6828424581889. The reversal of 6828424581888 is 8881854248286.

6828424581888 is a `hidden beast` number, since 6 + 8 + 2 + 84 + 2 + 458 + 18 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (6828424581883) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12950353 + ... + 13467311.

It is an arithmetic number, because the mean of its divisors is an integer number (47235916112).

Almost surely, 2^{6828424581888} 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 6828424581888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12753697350240).

6828424581888 is an abundant number, since it is smaller than the sum of its proper divisors (18678970118592).

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

6828424581888 is a wasteful number, since it uses less digits than its factorization.

6828424581888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517014 (or 516984 counting only the distinct ones).

The product of its digits is 503316480, while the sum is 72.

The spelling of 6828424581888 in words is "six trillion, eight hundred twenty-eight billion, four hundred twenty-four million, five hundred eighty-one thousand, eight hundred eighty-eight".