666164262197952 has 2352 divisors, whose sum is σ = 2443956020416512. Its totient is φ = 179195648163840.

The previous prime is 666164262197947. The next prime is 666164262197969. The reversal of 666164262197952 is 259791262461666.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2352).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1134862456603 + ... + 1134862457189.

It is an arithmetic number, because the mean of its divisors is an integer number (1039096947456).

Almost surely, 2^{666164262197952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 666164262197952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221978010208256).

666164262197952 is an abundant number, since it is smaller than the sum of its proper divisors (1777791758218560).

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

666164262197952 is a wasteful number, since it uses less digits than its factorization.

666164262197952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 926 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 666164262197952 in words is "six hundred sixty-six trillion, one hundred sixty-four billion, two hundred sixty-two million, one hundred ninety-seven thousand, nine hundred fifty-two".