6009574560 has 192 divisors, whose sum is σ = 20692869120. Its totient is φ = 1453921280.

The previous prime is 6009574559. The next prime is 6009574577. The reversal of 6009574560 is 654759006.

It is a super-2 number, since 2×6009574560² = 72229972784398387200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3795529 + ... + 3797111.

It is an arithmetic number, because the mean of its divisors is an integer number (107775360).

Almost surely, 2^6009574560 is an apocalyptic number.

6009574560 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 6009574560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10346434560).

6009574560 is an abundant number, since it is smaller than the sum of its proper divisors (14683294560).

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

6009574560 is a wasteful number, since it uses less digits than its factorization.

6009574560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 6009574560 is about 77521.4458069507. The cubic root of 6009574560 is about 1818.0866419391.

The spelling of 6009574560 in words is "six billion, nine million, five hundred seventy-four thousand, five hundred sixty".