6004590720 has 128 divisors (see below), whose sum is σ = 19182528000. Its totient is φ = 1597636608.

The previous prime is 6004590661. The next prime is 6004590721. The reversal of 6004590720 is 270954006.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (6004590721) 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, 916416 + ... + 922944.

It is an arithmetic number, because the mean of its divisors is an integer number (149863500).

Almost surely, 2^6004590720 is an apocalyptic number.

6004590720 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 6004590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9591264000).

6004590720 is an abundant number, since it is smaller than the sum of its proper divisors (13177937280).

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

6004590720 is a wasteful number, since it uses less digits than its factorization.

6004590720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7030 (or 7018 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 6004590720 is about 77489.2942282997. The cubic root of 6004590720 is about 1817.5839131230.

The spelling of 6004590720 in words is "six billion, four million, five hundred ninety thousand, seven hundred twenty".