66909068928 has 320 divisors, whose sum is σ = 227058982920. Its totient is φ = 19375718400.

The previous prime is 66909068909. The next prime is 66909068957. The reversal of 66909068928 is 82986090966.

It can be written as a sum of positive squares in 4 ways, for example, as 49529392704 + 17379676224 = 222552^2 + 131832^2 .

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 39 ways as a sum of consecutive naturals, for example, 2276728 + ... + 2305928.

Almost surely, 2^66909068928 is an apocalyptic number.

66909068928 is a gapful number since it is divisible by the number (68) 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 66909068928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113529491460).

66909068928 is an abundant number, since it is smaller than the sum of its proper divisors (160149913992).

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

66909068928 is a wasteful number, since it uses less digits than its factorization.

66909068928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29257 (or 29236 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 66909068928 in words is "sixty-six billion, nine hundred nine million, sixty-eight thousand, nine hundred twenty-eight".