6784138224 has 120 divisors (see below), whose sum is σ = 19389942000. Its totient is φ = 2213492736.

The previous prime is 6784138211. The next prime is 6784138237. The reversal of 6784138224 is 4228314876.

It is a happy number.

6784138224 is a `hidden beast` number, since 6 + 7 + 8 + 413 + 8 + 224 = 666.

It is an interprime number because it is at equal distance from previous prime (6784138211) and next prime (6784138237).

It is a self number, because there is not a number n which added to its sum of digits gives 6784138224.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4525027 + ... + 4526525.

It is an arithmetic number, because the mean of its divisors is an integer number (161582850).

Almost surely, 2^6784138224 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 6784138224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9694971000).

6784138224 is an abundant number, since it is smaller than the sum of its proper divisors (12605803776).

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

6784138224 is a wasteful number, since it uses less digits than its factorization.

6784138224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2150 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 6784138224 is about 82365.8802174784. The cubic root of 6784138224 is about 1893.0622533385.

The spelling of 6784138224 in words is "six billion, seven hundred eighty-four million, one hundred thirty-eight thousand, two hundred twenty-four".