7666386342976 has 63 divisors (see below), whose sum is σ = 16161300797349. Its totient is φ = 3607534015488.

The previous prime is 7666386342949. The next prime is 7666386342991. The reversal of 7666386342976 is 6792436836667.

The square root of 7666386342976 is 2768824.

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., 5968639886400 + 1697746456576 = 2443080^2 + 1302976^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7666386342899 and 7666386342908.

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 8 ways as a sum of consecutive naturals, for example, 376549885 + ... + 376570243.

Almost surely, 2^{7666386342976} is an apocalyptic number.

7666386342976 is the 2768824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7666386342976

7666386342976 is an abundant number, since it is smaller than the sum of its proper divisors (8494914454373).

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

7666386342976 is an frugal number, since it uses more digits than its factorization.

7666386342976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40764 (or 20378 counting only the distinct ones).

The product of its digits is 1975228416, while the sum is 73.

The spelling of 7666386342976 in words is "seven trillion, six hundred sixty-six billion, three hundred eighty-six million, three hundred forty-two thousand, nine hundred seventy-six".