6006563904 has 168 divisors, whose sum is σ = 17843382144. Its totient is φ = 1781120000.

The previous prime is 6006563903. The next prime is 6006563909. The reversal of 6006563904 is 4093656006.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6006563903) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1089154 + ... + 1094654.

It is an arithmetic number, because the mean of its divisors is an integer number (106210608).

Almost surely, 2^6006563904 is an apocalyptic number.

6006563904 is a gapful number since it is divisible by the number (64) 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 6006563904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8921691072).

6006563904 is an abundant number, since it is smaller than the sum of its proper divisors (11836818240).

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

6006563904 is a wasteful number, since it uses less digits than its factorization.

6006563904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5585 (or 5564 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 6006563904 is about 77502.0251606369. The cubic root of 6006563904 is about 1817.7829849602.

The spelling of 6006563904 in words is "six billion, six million, five hundred sixty-three thousand, nine hundred four".