668120775600 has 240 divisors, whose sum is σ = 2195282107040. Its totient is φ = 173634969600.

The previous prime is 668120775589. The next prime is 668120775601. The reversal of 668120775600 is 6577021866.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 668120775600.

It is not an unprimeable number, because it can be changed into a prime (668120775601) 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 47 ways as a sum of consecutive naturals, for example, 7936932 + ... + 8020668.

Almost surely, 2^668120775600 is an apocalyptic number.

668120775600 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 668120775600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097641053520).

668120775600 is an abundant number, since it is smaller than the sum of its proper divisors (1527161331440).

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

668120775600 is a wasteful number, since it uses less digits than its factorization.

668120775600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83928 (or 83917 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 668120775600 in words is "six hundred sixty-eight billion, one hundred twenty million, seven hundred seventy-five thousand, six hundred".