6004400664 has 64 divisors (see below), whose sum is σ = 15669504000. Its totient is φ = 1915119360.

The previous prime is 6004400651. The next prime is 6004400713. The reversal of 6004400664 is 4660044006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20877 + ... + 111555.

It is an arithmetic number, because the mean of its divisors is an integer number (244836000).

Almost surely, 2^6004400664 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 6004400664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7834752000).

6004400664 is an abundant number, since it is smaller than the sum of its proper divisors (9665103336).

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

6004400664 is a wasteful number, since it uses less digits than its factorization.

6004400664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90808 (or 90804 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 6004400664 is about 77488.0678814487. The cubic root of 6004400664 is about 1817.5647363304.

The spelling of 6004400664 in words is "six billion, four million, four hundred thousand, six hundred sixty-four".