6009138576 has 200 divisors, whose sum is σ = 20008134080. Its totient is φ = 1705556736.

The previous prime is 6009138571. The next prime is 6009138589. The reversal of 6009138576 is 6758319006.

It is a happy number.

6009138576 is a `hidden beast` number, since 60 + 0 + 9 + 13 + 8 + 576 = 666.

It is a super-2 number, since 2×6009138576² = 72219492851142615552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6009138571) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1422195 + ... + 1426413.

Almost surely, 2^6009138576 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 6009138576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10004067040).

6009138576 is an abundant number, since it is smaller than the sum of its proper divisors (13998995504).

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

6009138576 is a wasteful number, since it uses less digits than its factorization.

6009138576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4403 (or 4388 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 6009138576 is about 77518.6337340900. The cubic root of 6009138576 is about 1818.0426745530.

The spelling of 6009138576 in words is "six billion, nine million, one hundred thirty-eight thousand, five hundred seventy-six".