66878056224 has 288 divisors, whose sum is σ = 229380802560. Its totient is φ = 18055872000.

The previous prime is 66878056213. The next prime is 66878056229. The reversal of 66878056224 is 42265087866.

66878056224 is a `hidden beast` number, since 6 + 6 + 8 + 7 + 8 + 0 + 5 + 622 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (66878056229) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 16506999 + ... + 16511049.

It is an arithmetic number, because the mean of its divisors is an integer number (796461120).

Almost surely, 2^66878056224 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 66878056224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114690401280).

66878056224 is an abundant number, since it is smaller than the sum of its proper divisors (162502746336).

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

66878056224 is a wasteful number, since it uses less digits than its factorization.

66878056224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524 (or 4513 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 66878056224 in words is "sixty-six billion, eight hundred seventy-eight million, fifty-six thousand, two hundred twenty-four".