668338266024 has 720 divisors, whose sum is σ = 2301355647360. Its totient is φ = 180805996800.

The previous prime is 668338266007. The next prime is 668338266053. The reversal of 668338266024 is 420662833866.

668338266024 is a `hidden beast` number, since 6 + 6 + 8 + 3 + 3 + 8 + 26 + 602 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 179 ways as a sum of consecutive naturals, for example, 410778699 + ... + 410780325.

It is an arithmetic number, because the mean of its divisors is an integer number (3196327288).

Almost surely, 2^668338266024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668338266024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150677823680).

668338266024 is an abundant number, since it is smaller than the sum of its proper divisors (1633017381336).

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

668338266024 is a wasteful number, since it uses less digits than its factorization.

668338266024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 668338266024 in words is "six hundred sixty-eight billion, three hundred thirty-eight million, two hundred sixty-six thousand, twenty-four".