66954087200 has 288 divisors, whose sum is σ = 219462203520. Its totient is φ = 19263283200.

The previous prime is 66954087163. The next prime is 66954087247. The reversal of 66954087200 is 278045966.

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 47 ways as a sum of consecutive naturals, for example, 758996 + ... + 842604.

It is an arithmetic number, because the mean of its divisors is an integer number (762021540).

Almost surely, 2^66954087200 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 66954087200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109731101760).

66954087200 is an abundant number, since it is smaller than the sum of its proper divisors (152508116320).

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

66954087200 is a wasteful number, since it uses less digits than its factorization.

66954087200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83660 (or 83647 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 66954087200 in words is "sixty-six billion, nine hundred fifty-four million, eighty-seven thousand, two hundred".