66304433328 has 480 divisors, whose sum is σ = 219580803072. Its totient is φ = 16821780480.

The previous prime is 66304433317. The next prime is 66304433329. The reversal of 66304433328 is 82333440366.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 66304433328.

It is not an unprimeable number, because it can be changed into a prime (66304433329) 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 95 ways as a sum of consecutive naturals, for example, 257993776 + ... + 257994032.

Almost surely, 2^66304433328 is an apocalyptic number.

66304433328 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 66304433328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109790401536).

66304433328 is an abundant number, since it is smaller than the sum of its proper divisors (153276369744).

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

66304433328 is a wasteful number, since it uses less digits than its factorization.

66304433328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 42.

The spelling of 66304433328 in words is "sixty-six billion, three hundred four million, four hundred thirty-three thousand, three hundred twenty-eight".