6009696882560 has 256 divisors, whose sum is σ = 16982900121600. Its totient is φ = 1990013460480.

The previous prime is 6009696882551. The next prime is 6009696882641. The reversal of 6009696882560 is 652886969006.

It is a super-2 number, since 2×6009696882560² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69813626 + ... + 69899654.

It is an arithmetic number, because the mean of its divisors is an integer number (66339453600).

Almost surely, 2^{6009696882560} 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 6009696882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8491450060800).

6009696882560 is an abundant number, since it is smaller than the sum of its proper divisors (10973203239040).

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

6009696882560 is a wasteful number, since it uses less digits than its factorization.

6009696882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86589 (or 86577 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 65.

The spelling of 6009696882560 in words is "six trillion, nine billion, six hundred ninety-six million, eight hundred eighty-two thousand, five hundred sixty".