666472665600 has 1200 divisors, whose sum is σ = 2844616522176. Its totient is φ = 150958080000.

The previous prime is 666472665557. The next prime is 666472665641. The reversal of 666472665600 is 6566274666.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 950745250 + ... + 950745950.

Almost surely, 2^666472665600 is an apocalyptic number.

666472665600 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 666472665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422308261088).

666472665600 is an abundant number, since it is smaller than the sum of its proper divisors (2178143856576).

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

666472665600 is a wasteful number, since it uses less digits than its factorization.

666472665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 666472665600 in words is "six hundred sixty-six billion, four hundred seventy-two million, six hundred sixty-five thousand, six hundred".