66933642384 has 360 divisors, whose sum is σ = 225313237760. Its totient is φ = 18865446912.

The previous prime is 66933642367. The next prime is 66933642401. The reversal of 66933642384 is 48324633966.

It is an interprime number because it is at equal distance from previous prime (66933642367) and next prime (66933642401).

It is a super-2 number, since 2×66933642384² (a number of 22 digits) contains 22 as substring.

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 a self number, because there is not a number n which added to its sum of digits gives 66933642384.

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 71 ways as a sum of consecutive naturals, for example, 58051152 + ... + 58052304.

Almost surely, 2^66933642384 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 66933642384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112656618880).

66933642384 is an abundant number, since it is smaller than the sum of its proper divisors (158379595376).

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

66933642384 is an equidigital number, since it uses as much as digits as its factorization.

66933642384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1244 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 54.

The spelling of 66933642384 in words is "sixty-six billion, nine hundred thirty-three million, six hundred forty-two thousand, three hundred eighty-four".