66287774487168 has 512 divisors, whose sum is σ = 222321298752000. Its totient is φ = 19290211319808.

The previous prime is 66287774487157. The next prime is 66287774487223. The reversal of 66287774487168 is 86178447778266.

66287774487168 is a `hidden beast` number, since 6 + 6 + 2 + 8 + 7 + 7 + 7 + 448 + 7 + 168 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91607230 + ... + 92328002.

It is an arithmetic number, because the mean of its divisors is an integer number (434221286625).

Almost surely, 2^{66287774487168} 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 66287774487168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111160649376000).

66287774487168 is an abundant number, since it is smaller than the sum of its proper divisors (156033524264832).

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

66287774487168 is a wasteful number, since it uses less digits than its factorization.

66287774487168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720921 (or 720903 counting only the distinct ones).

The product of its digits is 8497004544, while the sum is 81.

The spelling of 66287774487168 in words is "sixty-six trillion, two hundred eighty-seven billion, seven hundred seventy-four million, four hundred eighty-seven thousand, one hundred sixty-eight".