66396384288 has 480 divisors, whose sum is σ = 229904801280. Its totient is φ = 18602680320.

The previous prime is 66396384283. The next prime is 66396384289. The reversal of 66396384288 is 88248369366.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (66396384283) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17755923 + ... + 17759661.

It is an arithmetic number, because the mean of its divisors is an integer number (478968336).

Almost surely, 2^66396384288 is an apocalyptic number.

66396384288 is a gapful number since it is divisible by the number (68) 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 66396384288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114952400640).

66396384288 is an abundant number, since it is smaller than the sum of its proper divisors (163508416992).

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

66396384288 is a wasteful number, since it uses less digits than its factorization.

66396384288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3822 (or 3805 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 66396384288 in words is "sixty-six billion, three hundred ninety-six million, three hundred eighty-four thousand, two hundred eighty-eight".