666734594093568 has 3840 divisors, whose sum is σ = 2840548943232000. Its totient is φ = 144719594127360.

The previous prime is 666734594093543. The next prime is 666734594093569. The reversal of 666734594093568 is 865390495437666.

It is a super-2 number, since 2×666734594093568² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (666734594093569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1021033068730 + ... + 1021033069382.

It is an arithmetic number, because the mean of its divisors is an integer number (739726287300).

Almost surely, 2^{666734594093568} is an apocalyptic number.

666734594093568 is a gapful number since it is divisible by the number (68) 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 666734594093568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420274471616000).

666734594093568 is an abundant number, since it is smaller than the sum of its proper divisors (2173814349138432).

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

666734594093568 is a wasteful number, since it uses less digits than its factorization.

666734594093568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 21163161600, while the sum is 81.

The spelling of 666734594093568 in words is "six hundred sixty-six trillion, seven hundred thirty-four billion, five hundred ninety-four million, ninety-three thousand, five hundred sixty-eight".