666933181200 has 720 divisors, whose sum is σ = 2879049229056. Its totient is φ = 140462899200.

The previous prime is 666933181153. The next prime is 666933181207. The reversal of 666933181200 is 2181339666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (666933181207) 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, 8713497 + ... + 8789703.

Almost surely, 2^666933181200 is an apocalyptic number.

666933181200 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 666933181200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439524614528).

666933181200 is an abundant number, since it is smaller than the sum of its proper divisors (2212116047856).

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

666933181200 is a wasteful number, since it uses less digits than its factorization.

666933181200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76272 (or 76258 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 666933181200 in words is "six hundred sixty-six billion, nine hundred thirty-three million, one hundred eighty-one thousand, two hundred".