6765284232256 has 105 divisors (see below), whose sum is σ = 14772753155095. Its totient is φ = 3073984749440.

The previous prime is 6765284232209. The next prime is 6765284232257. The reversal of 6765284232256 is 6522324825676.

The square root of 6765284232256 is 2601016.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (58060800) is a multiple of the sum of its prime divisors (2700).

It is a self number, because there is not a number n which added to its sum of digits gives 6765284232256.

It is not an unprimeable number, because it can be changed into a prime (6765284232257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2517782145 + ... + 2517784831.

Almost surely, 2^{6765284232256} is an apocalyptic number.

6765284232256 is the 2601016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6765284232256

6765284232256 is an abundant number, since it is smaller than the sum of its proper divisors (8007468922839).

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

6765284232256 is an frugal number, since it uses more digits than its factorization.

6765284232256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5430 (or 2700 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 58.

The spelling of 6765284232256 in words is "six trillion, seven hundred sixty-five billion, two hundred eighty-four million, two hundred thirty-two thousand, two hundred fifty-six".