7787164648961 has 2 divisors, whose sum is σ = 7787164648962. Its totient is φ = 7787164648960.

The previous prime is 7787164648931. The next prime is 7787164649027. The reversal of 7787164648961 is 1698464617877.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7510236111361 + 276928537600 = 2740481^2 + 526240^2 .

It is a cyclic number.

It is not a de Polignac number, because 7787164648961 - 2¹⁰ = 7787164647937 is a prime.

It is not a weakly prime, because it can be changed into another prime (7787164648931) by changing a digit.

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 as a sum of consecutive naturals, namely, 3893582324480 + 3893582324481.

It is an arithmetic number, because the mean of its divisors is an integer number (3893582324481).

Almost surely, 2^{7787164648961} is an apocalyptic number.

It is an amenable number.

7787164648961 is a deficient number, since it is larger than the sum of its proper divisors (1).

7787164648961 is an equidigital number, since it uses as much as digits as its factorization.

7787164648961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 682795008, while the sum is 74.

The spelling of 7787164648961 in words is "seven trillion, seven hundred eighty-seven billion, one hundred sixty-four million, six hundred forty-eight thousand, nine hundred sixty-one".