6009615040 has 168 divisors, whose sum is σ = 16940997360. Its totient is φ = 2017044480.

The previous prime is 6009615037. The next prime is 6009615061. The reversal of 6009615040 is 405169006.

It is a super-2 number, since 2×6009615040² = 72230945857988403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6009614993 and 6009615011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 497391 + ... + 509329.

It is an arithmetic number, because the mean of its divisors is an integer number (100839270).

Almost surely, 2^6009615040 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 6009615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8470498680).

6009615040 is an abundant number, since it is smaller than the sum of its proper divisors (10931382320).

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

6009615040 is a wasteful number, since it uses less digits than its factorization.

6009615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11991 (or 11970 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 6009615040 is about 77521.7068955528. The cubic root of 6009615040 is about 1818.0907240906.

The spelling of 6009615040 in words is "six billion, nine million, six hundred fifteen thousand, forty".