66609619200 has 648 divisors, whose sum is σ = 250994435328. Its totient is φ = 16820305920.

The previous prime is 66609619187. The next prime is 66609619243. The reversal of 66609619200 is 291690666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 181497417 + ... + 181497783.

Almost surely, 2^66609619200 is an apocalyptic number.

66609619200 is a gapful number since it is divisible by the number (60) 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 66609619200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125497217664).

66609619200 is an abundant number, since it is smaller than the sum of its proper divisors (184384816128).

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

66609619200 is a wasteful number, since it uses less digits than its factorization.

66609619200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 66609619200 in words is "sixty-six billion, six hundred nine million, six hundred nineteen thousand, two hundred".