66623298336 has 768 divisors, whose sum is σ = 239953674240. Its totient is φ = 17803929600.

The previous prime is 66623298323. The next prime is 66623298337. The reversal of 66623298336 is 63389232666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (66623298337) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 622647595 + ... + 622647701.

It is an arithmetic number, because the mean of its divisors is an integer number (312439680).

Almost surely, 2^66623298336 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 66623298336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119976837120).

66623298336 is an abundant number, since it is smaller than the sum of its proper divisors (173330375904).

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

66623298336 is a wasteful number, since it uses less digits than its factorization.

66623298336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 191 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 54.

The spelling of 66623298336 in words is "sixty-six billion, six hundred twenty-three million, two hundred ninety-eight thousand, three hundred thirty-six".