668242820754 has 64 divisors (see below), whose sum is σ = 1495373040000. Its totient is φ = 221190108480.

The previous prime is 668242820747. The next prime is 668242820771. The reversal of 668242820754 is 457028242866.

668242820754 is a `hidden beast` number, since 6 + 6 + 8 + 2 + 428 + 207 + 5 + 4 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 668242820754.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34902024 + ... + 34921164.

It is an arithmetic number, because the mean of its divisors is an integer number (23365203750).

Almost surely, 2^668242820754 is an apocalyptic number.

668242820754 is an abundant number, since it is smaller than the sum of its proper divisors (827130219246).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

668242820754 is a wasteful number, since it uses less digits than its factorization.

668242820754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23640 (or 23634 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 668242820754 in words is "six hundred sixty-eight billion, two hundred forty-two million, eight hundred twenty thousand, seven hundred fifty-four".