6005754560 has 224 divisors, whose sum is σ = 16438790592. Its totient is φ = 2070282240.

The previous prime is 6005754551. The next prime is 6005754563. The reversal of 6005754560 is 654575006.

It is not an unprimeable number, because it can be changed into a prime (6005754563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11527100 + ... + 11527620.

It is an arithmetic number, because the mean of its divisors is an integer number (73387458).

Almost surely, 2^6005754560 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 6005754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8219395296).

6005754560 is an abundant number, since it is smaller than the sum of its proper divisors (10433036032).

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

6005754560 is a wasteful number, since it uses less digits than its factorization.

6005754560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 38.

The square root of 6005754560 is about 77496.8035469851. The cubic root of 6005754560 is about 1817.7013366247.

The spelling of 6005754560 in words is "six billion, five million, seven hundred fifty-four thousand, five hundred sixty".