666354112200 has 576 divisors, whose sum is σ = 2652345596160. Its totient is φ = 146743695360.

The previous prime is 666354112187. The next prime is 666354112201. The reversal of 666354112200 is 2211453666.

666354112200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (666354112201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48011662 + ... + 48025538.

It is an arithmetic number, because the mean of its divisors is an integer number (4604766660).

Almost surely, 2^666354112200 is an apocalyptic number.

666354112200 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 666354112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326172798080).

666354112200 is an abundant number, since it is smaller than the sum of its proper divisors (1985991483960).

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

666354112200 is a wasteful number, since it uses less digits than its factorization.

666354112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14046 (or 14034 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 666354112200 its reverse (2211453666), we get a palindrome (668565565866).

The spelling of 666354112200 in words is "six hundred sixty-six billion, three hundred fifty-four million, one hundred twelve thousand, two hundred".