7484400017 has 2 divisors, whose sum is σ = 7484400018. Its totient is φ = 7484400016.

The previous prime is 7484399977. The next prime is 7484400019. The reversal of 7484400017 is 7100044847.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6156599296 + 1327800721 = 78464^2 + 36439^2 .

It is a cyclic number.

It is not a de Polignac number, because 7484400017 - 2¹⁰ = 7484398993 is a prime.

It is a super-2 number, since 2×7484400017² (a number of 21 digits) contains 22 as substring.

Together with 7484400019, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 7484400017.

It is not a weakly prime, because it can be changed into another prime (7484400019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3742200008 + 3742200009.

It is an arithmetic number, because the mean of its divisors is an integer number (3742200009).

Almost surely, 2^7484400017 is an apocalyptic number.

It is an amenable number.

7484400017 is a deficient number, since it is larger than the sum of its proper divisors (1).

7484400017 is an equidigital number, since it uses as much as digits as its factorization.

7484400017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25088, while the sum is 35.

The square root of 7484400017 is about 86512.4269512768. The cubic root of 7484400017 is about 1956.0757259008.

The spelling of 7484400017 in words is "seven billion, four hundred eighty-four million, four hundred thousand, seventeen".