7727004320117 has 2 divisors, whose sum is σ = 7727004320118. Its totient is φ = 7727004320116.

The previous prime is 7727004320111. The next prime is 7727004320131. The reversal of 7727004320117 is 7110234007277.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5961757272241 + 1765247047876 = 2441671^2 + 1328626^2 .

It is a cyclic number.

It is not a de Polignac number, because 7727004320117 - 2¹⁶ = 7727004254581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7727004320111) 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, 3863502160058 + 3863502160059.

It is an arithmetic number, because the mean of its divisors is an integer number (3863502160059).

Almost surely, 2^{7727004320117} is an apocalyptic number.

It is an amenable number.

7727004320117 is a deficient number, since it is larger than the sum of its proper divisors (1).

7727004320117 is an equidigital number, since it uses as much as digits as its factorization.

7727004320117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 115248, while the sum is 41.

The spelling of 7727004320117 in words is "seven trillion, seven hundred twenty-seven billion, four million, three hundred twenty thousand, one hundred seventeen".