7564376734657 has 2 divisors, whose sum is σ = 7564376734658. Its totient is φ = 7564376734656.

The previous prime is 7564376734639. The next prime is 7564376734667.

It is a happy number.

7564376734657 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6510912619201 + 1053464115456 = 2551649^2 + 1026384^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-7564376734657 is a prime.

It is not a weakly prime, because it can be changed into another prime (7564376734667) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3782188367328 + 3782188367329.

It is an arithmetic number, because the mean of its divisors is an integer number (3782188367329).

Almost surely, 2^{7564376734657} is an apocalyptic number.

It is an amenable number.

7564376734657 is a deficient number, since it is larger than the sum of its proper divisors (1).

7564376734657 is an equidigital number, since it uses as much as digits as its factorization.

7564376734657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1867017600, while the sum is 70.

The spelling of 7564376734657 in words is "seven trillion, five hundred sixty-four billion, three hundred seventy-six million, seven hundred thirty-four thousand, six hundred fifty-seven".