668433786084 has 135 divisors (see below), whose sum is σ = 1783090798027. Its totient is φ = 218352191616.

The previous prime is 668433786079. The next prime is 668433786089. The reversal of 668433786084 is 480687334866.

The square root of 668433786084 is 817578.

It is a perfect power (a square), and thus also a powerful number.

668433786084 is a `hidden beast` number, since 6 + 68 + 433 + 7 + 8 + 60 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (668433786079) and next prime (668433786089).

It can be written as a sum of positive squares in 4 ways, for example, as 303955947684 + 364477838400 = 551322^2 + 603720^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (668433786089) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 779968984 + ... + 779969840.

Almost surely, 2^668433786084 is an apocalyptic number.

668433786084 is the 817578-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668433786084

668433786084 is an abundant number, since it is smaller than the sum of its proper divisors (1114657011943).

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

668433786084 is an frugal number, since it uses more digits than its factorization.

668433786084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 668433786084 in words is "six hundred sixty-eight billion, four hundred thirty-three million, seven hundred eighty-six thousand, eighty-four".