66267949651200 has 2160 divisors, whose sum is σ = 277294287029760. Its totient is φ = 15469387776000.

The previous prime is 66267949651177. The next prime is 66267949651207. The reversal of 66267949651200 is 215694976266.

66267949651200 is a `hidden beast` number, since 6 + 6 + 2 + 6 + 79 + 49 + 6 + 512 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×66267949651200² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66267949651207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 40481336782 + ... + 40481338418.

It is an arithmetic number, because the mean of its divisors is an integer number (128376984736).

Almost surely, 2^{66267949651200} is an apocalyptic number.

66267949651200 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 66267949651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138647143514880).

66267949651200 is an abundant number, since it is smaller than the sum of its proper divisors (211026337378560).

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

66267949651200 is a wasteful number, since it uses less digits than its factorization.

66267949651200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 66267949651200 in words is "sixty-six trillion, two hundred sixty-seven billion, nine hundred forty-nine million, six hundred fifty-one thousand, two hundred".