66761139200 has 264 divisors, whose sum is σ = 191016738432. Its totient is φ = 22661038080.

The previous prime is 66761139197. The next prime is 66761139209. The reversal of 66761139200 is 293116766.

It is not an unprimeable number, because it can be changed into a prime (66761139209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18455792 + ... + 18459408.

Almost surely, 2^66761139200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66761139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95508369216).

66761139200 is an abundant number, since it is smaller than the sum of its proper divisors (124255599232).

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

66761139200 is a wasteful number, since it uses less digits than its factorization.

66761139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3757 (or 3734 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 41.

The spelling of 66761139200 in words is "sixty-six billion, seven hundred sixty-one million, one hundred thirty-nine thousand, two hundred".