66893359104 has 576 divisors, whose sum is σ = 232888219200. Its totient is φ = 18225561600.

The previous prime is 66893359081. The next prime is 66893359111. The reversal of 66893359104 is 40195339866.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108066507 + ... + 108067125.

It is an arithmetic number, because the mean of its divisors is an integer number (404319825).

Almost surely, 2^66893359104 is an apocalyptic number.

66893359104 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 66893359104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116444109600).

66893359104 is an abundant number, since it is smaller than the sum of its proper divisors (165994860096).

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

66893359104 is a wasteful number, since it uses less digits than its factorization.

66893359104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 66893359104 in words is "sixty-six billion, eight hundred ninety-three million, three hundred fifty-nine thousand, one hundred four".