6004578816 has 160 divisors (see below), whose sum is σ = 18710260800. Its totient is φ = 1896099840.

The previous prime is 6004578787. The next prime is 6004578817. The reversal of 6004578816 is 6188754006.

It is a happy number.

6004578816 is a `hidden beast` number, since 60 + 0 + 4 + 578 + 8 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (6004578817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251226 + ... + 274086.

It is an arithmetic number, because the mean of its divisors is an integer number (116939130).

Almost surely, 2^6004578816 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 6004578816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9355130400).

6004578816 is an abundant number, since it is smaller than the sum of its proper divisors (12705681984).

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

6004578816 is a wasteful number, since it uses less digits than its factorization.

6004578816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22907 (or 22885 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 6004578816 is about 77489.2174176511. The cubic root of 6004578816 is about 1817.5827120124.

The spelling of 6004578816 in words is "six billion, four million, five hundred seventy-eight thousand, eight hundred sixteen".