668055777417 has 64 divisors (see below), whose sum is σ = 1176962088960. Its totient is φ = 366574133952.

The previous prime is 668055777379. The next prime is 668055777419. The reversal of 668055777417 is 714777550866.

668055777417 is a `hidden beast` number, since 6 + 6 + 8 + 0 + 557 + 7 + 74 + 1 + 7 = 666.

It is not a de Polignac number, because 668055777417 - 2⁷ = 668055777289 is a prime.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (668055777419) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 238693 + ... + 1180290.

It is an arithmetic number, because the mean of its divisors is an integer number (18390032640).

Almost surely, 2^668055777417 is an apocalyptic number.

It is an amenable number.

668055777417 is a deficient number, since it is larger than the sum of its proper divisors (508906311543).

668055777417 is a wasteful number, since it uses less digits than its factorization.

668055777417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419099 (or 1419093 counting only the distinct ones).

The product of its (nonzero) digits is 69148800, while the sum is 63.

The spelling of 668055777417 in words is "six hundred sixty-eight billion, fifty-five million, seven hundred seventy-seven thousand, four hundred seventeen".