66959843328 has 336 divisors, whose sum is σ = 230712483456. Its totient is φ = 18296340480.

The previous prime is 66959843317. The next prime is 66959843359. The reversal of 66959843328 is 82334895966.

66959843328 is a `hidden beast` number, since 6 + 6 + 9 + 598 + 4 + 3 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×66959843328² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11867388 + ... + 11873028.

It is an arithmetic number, because the mean of its divisors is an integer number (686644296).

Almost surely, 2^66959843328 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 66959843328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115356241728).

66959843328 is an abundant number, since it is smaller than the sum of its proper divisors (163752640128).

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

66959843328 is a wasteful number, since it uses less digits than its factorization.

66959843328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5703 (or 5676 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 66959843328 in words is "sixty-six billion, nine hundred fifty-nine million, eight hundred forty-three thousand, three hundred twenty-eight".