66995904384 has 512 divisors, whose sum is σ = 223739366400. Its totient is φ = 19619905536.

The previous prime is 66995904379. The next prime is 66995904413. The reversal of 66995904384 is 48340959966.

66995904384 is a `hidden beast` number, since 6 + 6 + 9 + 9 + 590 + 4 + 38 + 4 = 666.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 58105152 + ... + 58106304.

It is an arithmetic number, because the mean of its divisors is an integer number (436990950).

Almost surely, 2^66995904384 is an apocalyptic number.

66995904384 is a gapful number since it is divisible by the number (64) 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 66995904384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111869683200).

66995904384 is an abundant number, since it is smaller than the sum of its proper divisors (156743462016).

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

66995904384 is a wasteful number, since it uses less digits than its factorization.

66995904384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 66995904384 in words is "sixty-six billion, nine hundred ninety-five million, nine hundred four thousand, three hundred eighty-four".