66434242176 has 384 divisors, whose sum is σ = 209357366400. Its totient is φ = 20696518656.

The previous prime is 66434242141. The next prime is 66434242223. The reversal of 66434242176 is 67124243466.

66434242176 is a `hidden beast` number, since 6 + 6 + 4 + 3 + 424 + 217 + 6 = 666.

66434242176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 620880715 + ... + 620880821.

It is an arithmetic number, because the mean of its divisors is an integer number (545201475).

Almost surely, 2^66434242176 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 66434242176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104678683200).

66434242176 is an abundant number, since it is smaller than the sum of its proper divisors (142923124224).

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

66434242176 is a wasteful number, since it uses less digits than its factorization.

66434242176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 208 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 66434242176 in words is "sixty-six billion, four hundred thirty-four million, two hundred forty-two thousand, one hundred seventy-six".