9735664665379 has 32 divisors (see below), whose sum is σ = 10897870420800. Its totient is φ = 8643149660160.

The previous prime is 9735664665329. The next prime is 9735664665479.

9735664665379 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 9735664665379 - 2⁹ = 9735664664867 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9735664665329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 835171719 + ... + 835183375.

It is an arithmetic number, because the mean of its divisors is an integer number (340558450650).

Almost surely, 2^{9735664665379} is an apocalyptic number.

9735664665379 is a deficient number, since it is larger than the sum of its proper divisors (1162205755421).

9735664665379 is a wasteful number, since it uses less digits than its factorization.

9735664665379 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22663.

The product of its digits is 4629441600, while the sum is 76.

The spelling of 9735664665379 in words is "nine trillion, seven hundred thirty-five billion, six hundred sixty-four million, six hundred sixty-five thousand, three hundred seventy-nine".