6008002560 has 576 divisors, whose sum is σ = 24326265600. Its totient is φ = 1343029248.

The previous prime is 6008002547. The next prime is 6008002577. The reversal of 6008002560 is 652008006.

6008002560 is a `hidden beast` number, since 600 + 8 + 0 + 0 + 2 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43222971 + ... + 43223109.

It is an arithmetic number, because the mean of its divisors is an integer number (42233100).

Almost surely, 2^6008002560 is an apocalyptic number.

6008002560 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 6008002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12163132800).

6008002560 is an abundant number, since it is smaller than the sum of its proper divisors (18318263040).

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

6008002560 is a wasteful number, since it uses less digits than its factorization.

6008002560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6008002560 is about 77511.3060140261. The cubic root of 6008002560 is about 1817.9281015182.

The spelling of 6008002560 in words is "six billion, eight million, two thousand, five hundred sixty".