7634643764257 has 2 divisors, whose sum is σ = 7634643764258. Its totient is φ = 7634643764256.

The previous prime is 7634643764203. The next prime is 7634643764261. The reversal of 7634643764257 is 7524673464367.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4882681283041 + 2751962481216 = 2209679^2 + 1658904^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-7634643764257 is a prime.

It is not a weakly prime, because it can be changed into another prime (7634643764857) 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, 3817321882128 + 3817321882129.

It is an arithmetic number, because the mean of its divisors is an integer number (3817321882129).

Almost surely, 2^{7634643764257} is an apocalyptic number.

It is an amenable number.

7634643764257 is a deficient number, since it is larger than the sum of its proper divisors (1).

7634643764257 is an equidigital number, since it uses as much as digits as its factorization.

7634643764257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 426746880, while the sum is 64.

The spelling of 7634643764257 in words is "seven trillion, six hundred thirty-four billion, six hundred forty-three million, seven hundred sixty-four thousand, two hundred fifty-seven".