668080704064 has 84 divisors (see below), whose sum is σ = 1351529186700. Its totient is φ = 327655342080.

The previous prime is 668080704041. The next prime is 668080704073. The reversal of 668080704064 is 460407080866.

It can be written as a sum of positive squares in 2 ways, for example, as 271432664064 + 396648040000 = 520992^2 + 629800^2 .

It is a super-2 number, since 2×668080704064² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 668080703999 and 668080704017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69233512 + ... + 69243160.

It is an arithmetic number, because the mean of its divisors is an integer number (16089633175).

Almost surely, 2^668080704064 is an apocalyptic number.

668080704064 is a gapful number since it is divisible by the number (64) 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 668080704064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675764593350).

668080704064 is an abundant number, since it is smaller than the sum of its proper divisors (683448482636).

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

668080704064 is an equidigital number, since it uses as much as digits as its factorization.

668080704064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10036 (or 9959 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

The spelling of 668080704064 in words is "six hundred sixty-eight billion, eighty million, seven hundred four thousand, sixty-four".