668359334016 has 512 divisors, whose sum is σ = 2225690265600. Its totient is φ = 195706368000.

The previous prime is 668359333979. The next prime is 668359334029. The reversal of 668359334016 is 610433953866.

668359334016 is a `hidden beast` number, since 6 + 6 + 8 + 3 + 593 + 3 + 40 + 1 + 6 = 666.

It is a super-2 number, since 2×668359334016² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134992341 + ... + 134997291.

It is an arithmetic number, because the mean of its divisors is an integer number (4347051300).

Almost surely, 2^668359334016 is an apocalyptic number.

668359334016 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668359334016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112845132800).

668359334016 is an abundant number, since it is smaller than the sum of its proper divisors (1557330931584).

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

668359334016 is a wasteful number, since it uses less digits than its factorization.

668359334016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5105 (or 5087 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 668359334016 in words is "six hundred sixty-eight billion, three hundred fifty-nine million, three hundred thirty-four thousand, sixteen".