668285614080 has 1728 divisors, whose sum is σ = 2901520440000. Its totient is φ = 147483721728.

The previous prime is 668285614039. The next prime is 668285614081. The reversal of 668285614080 is 80416582866.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668285614081) 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 143 ways as a sum of consecutive naturals, for example, 23044331506 + ... + 23044331534.

It is an arithmetic number, because the mean of its divisors is an integer number (1679120625).

Almost surely, 2^668285614080 is an apocalyptic number.

668285614080 is a gapful number since it is divisible by the number (60) 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 668285614080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450760220000).

668285614080 is an abundant number, since it is smaller than the sum of its proper divisors (2233234825920).

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

668285614080 is an frugal number, since it uses more digits than its factorization.

668285614080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 668285614080 in words is "six hundred sixty-eight billion, two hundred eighty-five million, six hundred fourteen thousand, eighty".