68382579429376 has 39 divisors (see below), whose sum is σ = 136749522252181. Its totient is φ = 34191025094656.

The previous prime is 68382579429331. The next prime is 68382579429407. The reversal of 68382579429376 is 67392497528386.

The square root of 68382579429376 is 8269376.

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., 1441382731776 + 66941196697600 = 1200576^2 + 8181760^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 68382579429296 and 68382579429305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 529175460 + ... + 529304668.

Almost surely, 2^{68382579429376} is an apocalyptic number.

68382579429376 is the 8269376-th square number.

It is an amenable number.

68382579429376 is a deficient number, since it is larger than the sum of its proper divisors (68366942822805).

68382579429376 is an frugal number, since it uses more digits than its factorization.

68382579429376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258442 (or 129211 counting only the distinct ones).

The product of its digits is 6584094720, while the sum is 79.

The spelling of 68382579429376 in words is "sixty-eight trillion, three hundred eighty-two billion, five hundred seventy-nine million, four hundred twenty-nine thousand, three hundred seventy-six".