7564128769 has 2 divisors, whose sum is σ = 7564128770. Its totient is φ = 7564128768.

The previous prime is 7564128709. The next prime is 7564128787. The reversal of 7564128769 is 9678214657.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5254365169 + 2309763600 = 72487^2 + 48060^2 .

It is an emirp because it is prime and its reverse (9678214657) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7564128769 - 2⁷ = 7564128641 is a prime.

It is a super-2 number, since 2×7564128769² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (7564128709) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3782064384 + 3782064385.

It is an arithmetic number, because the mean of its divisors is an integer number (3782064385).

Almost surely, 2^7564128769 is an apocalyptic number.

It is an amenable number.

7564128769 is a deficient number, since it is larger than the sum of its proper divisors (1).

7564128769 is an equidigital number, since it uses as much as digits as its factorization.

7564128769 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5080320, while the sum is 55.

The square root of 7564128769 is about 86971.9999137653. Note that the first 4 decimals coincide. The cubic root of 7564128769 is about 1962.9970088467.

The spelling of 7564128769 in words is "seven billion, five hundred sixty-four million, one hundred twenty-eight thousand, seven hundred sixty-nine".