668409007105 has 24 divisors (see below), whose sum is σ = 937048972392. Its totient is φ = 456370451712.

The previous prime is 668409007093. The next prime is 668409007129. The reversal of 668409007105 is 501700904866.

It can be written as a sum of positive squares in 4 ways, for example, as 154917811216 + 513491195889 = 393596^2 + 716583^2 .

It is not a de Polignac number, because 668409007105 - 2¹¹ = 668409005057 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5797422 + ... + 5911591.

It is an arithmetic number, because the mean of its divisors is an integer number (39043707183).

Almost surely, 2^668409007105 is an apocalyptic number.

It is an amenable number.

668409007105 is a deficient number, since it is larger than the sum of its proper divisors (268639965287).

668409007105 is a wasteful number, since it uses less digits than its factorization.

668409007105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11709265 (or 11709258 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 668409007105 in words is "six hundred sixty-eight billion, four hundred nine million, seven thousand, one hundred five".