6009313536 has 180 divisors, whose sum is σ = 18029919600. Its totient is φ = 1990683648.

The previous prime is 6009313529. The next prime is 6009313571. The reversal of 6009313536 is 6353139006.

6009313536 is a `hidden beast` number, since 600 + 9 + 3 + 13 + 5 + 36 = 666.

It is a super-2 number, since 2×6009313536² = 72223698347905646592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6009313536.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3710935 + ... + 3712553.

It is an arithmetic number, because the mean of its divisors is an integer number (100166220).

Almost surely, 2^6009313536 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 6009313536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9014959800).

6009313536 is an abundant number, since it is smaller than the sum of its proper divisors (12020606064).

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

6009313536 is a wasteful number, since it uses less digits than its factorization.

6009313536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 6009313536 is about 77519.7622287375. The cubic root of 6009313536 is about 1818.0603188822.

The spelling of 6009313536 in words is "six billion, nine million, three hundred thirteen thousand, five hundred thirty-six".