6000290560 has 288 divisors, whose sum is σ = 16529909760. Its totient is φ = 2066841600.

The previous prime is 6000290557. The next prime is 6000290567. The reversal of 6000290560 is 650920006.

It is a super-2 number, since 2×6000290560² = 72006973608850227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6000290567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25752204 + ... + 25752436.

It is an arithmetic number, because the mean of its divisors is an integer number (57395520).

Almost surely, 2^6000290560 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 6000290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8264954880).

6000290560 is an abundant number, since it is smaller than the sum of its proper divisors (10529619200).

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

6000290560 is a wasteful number, since it uses less digits than its factorization.

6000290560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 6000290560 is about 77461.5424581773. The cubic root of 6000290560 is about 1817.1499247231.

The spelling of 6000290560 in words is "six billion, two hundred ninety thousand, five hundred sixty".