6004223820 has 432 divisors, whose sum is σ = 23144808960. Its totient is φ = 1299182976.

The previous prime is 6004223791. The next prime is 6004223867. The reversal of 6004223820 is 283224006.

6004223820 is a `hidden beast` number, since 600 + 4 + 2 + 2 + 38 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4523997 + ... + 4525323.

Almost surely, 2^6004223820 is an apocalyptic number.

6004223820 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 6004223820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11572404480).

6004223820 is an abundant number, since it is smaller than the sum of its proper divisors (17140585140).

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

6004223820 is a wasteful number, since it uses less digits than its factorization.

6004223820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 6004223820 is about 77486.9267683265. The cubic root of 6004223820 is about 1817.5468922750.

Adding to 6004223820 its reverse (283224006), we get a palindrome (6287447826).

The spelling of 6004223820 in words is "six billion, four million, two hundred twenty-three thousand, eight hundred twenty".