7648672464137 has 2 divisors, whose sum is σ = 7648672464138. Its totient is φ = 7648672464136.

The previous prime is 7648672464071. The next prime is 7648672464193. The reversal of 7648672464137 is 7314642768467.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4581757374016 + 3066915090121 = 2140504^2 + 1751261^2 .

It is a cyclic number.

It is not a de Polignac number, because 7648672464137 - 2¹² = 7648672460041 is a prime.

It is not a weakly prime, because it can be changed into another prime (7648672464197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3824336232068 + 3824336232069.

It is an arithmetic number, because the mean of its divisors is an integer number (3824336232069).

Almost surely, 2^{7648672464137} is an apocalyptic number.

It is an amenable number.

7648672464137 is a deficient number, since it is larger than the sum of its proper divisors (1).

7648672464137 is an equidigital number, since it uses as much as digits as its factorization.

7648672464137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 227598336, while the sum is 65.

The spelling of 7648672464137 in words is "seven trillion, six hundred forty-eight billion, six hundred seventy-two million, four hundred sixty-four thousand, one hundred thirty-seven".