6567667656 has 128 divisors (see below), whose sum is σ = 18424627200. Its totient is φ = 1933632000.

The previous prime is 6567667643. The next prime is 6567667679.

6567667656 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 6567667656.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2932185 + ... + 2934423.

It is an arithmetic number, because the mean of its divisors is an integer number (143942400).

Almost surely, 2^6567667656 is an apocalyptic number.

6567667656 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6567667656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9212313600).

6567667656 is an abundant number, since it is smaller than the sum of its proper divisors (11856959544).

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

6567667656 is a wasteful number, since it uses less digits than its factorization.

6567667656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2571 (or 2567 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 60.

The square root of 6567667656 is about 81041.1479188196. The cubic root of 6567667656 is about 1872.7093953780.

The spelling of 6567667656 in words is "six billion, five hundred sixty-seven million, six hundred sixty-seven thousand, six hundred fifty-six".