6559947268272 has 200 divisors, whose sum is σ = 19302180876000. Its totient is φ = 2150296657920.

The previous prime is 6559947268163. The next prime is 6559947268327. The reversal of 6559947268272 is 2728627499556.

6559947268272 is a `hidden beast` number, since 6 + 5 + 5 + 9 + 9 + 472 + 6 + 82 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 6559947268272.

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 39 ways as a sum of consecutive naturals, for example, 495121104 + ... + 495134352.

It is an arithmetic number, because the mean of its divisors is an integer number (96510904380).

Almost surely, 2^{6559947268272} 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 6559947268272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9651090438000).

6559947268272 is an abundant number, since it is smaller than the sum of its proper divisors (12742233607728).

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

6559947268272 is a wasteful number, since it uses less digits than its factorization.

6559947268272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19593 (or 19578 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 6559947268272 in words is "six trillion, five hundred fifty-nine billion, nine hundred forty-seven million, two hundred sixty-eight thousand, two hundred seventy-two".