6823672430656 has 63 divisors (see below), whose sum is σ = 13594306340797. Its totient is φ = 3398388527360.

The previous prime is 6823672430651. The next prime is 6823672430681. The reversal of 6823672430656 is 6560342763286.

The square root of 6823672430656 is 2612216.

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

It can be written as a sum of positive squares in only one way, i.e., 4231314824256 + 2592357606400 = 2057016^2 + 1610080^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6823672430656.

It is not an unprimeable number, because it can be changed into a prime (6823672430651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7251511146 + ... + 7251512086.

Almost surely, 2^{6823672430656} is an apocalyptic number.

6823672430656 is the 2612216-th square number.

It is an amenable number.

6823672430656 is a deficient number, since it is larger than the sum of its proper divisors (6770633910141).

6823672430656 is an frugal number, since it uses more digits than its factorization.

6823672430656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 58.

The spelling of 6823672430656 in words is "six trillion, eight hundred twenty-three billion, six hundred seventy-two million, four hundred thirty thousand, six hundred fifty-six".