7128670768217 has 8 divisors (see below), whose sum is σ = 7732102010472. Its totient is φ = 6545694822400.

The previous prime is 7128670768139. The next prime is 7128670768231.

7128670768217 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 106070067856 + 7022600700361 = 325684^2 + 2650019^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 7128670768217 - 2²² = 7128666573913 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7128670768217.

It is not an unprimeable number, because it can be changed into a prime (7128670761217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5113823384 + ... + 5113824777.

It is an arithmetic number, because the mean of its divisors is an integer number (966512751309).

Almost surely, 2^{7128670768217} is an apocalyptic number.

It is an amenable number.

7128670768217 is a deficient number, since it is larger than the sum of its proper divisors (603431242255).

7128670768217 is a wasteful number, since it uses less digits than its factorization.

7128670768217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10227648219.

The product of its (nonzero) digits is 22127616, while the sum is 62.

The spelling of 7128670768217 in words is "seven trillion, one hundred twenty-eight billion, six hundred seventy million, seven hundred sixty-eight thousand, two hundred seventeen".