66238233304320 has 6048 divisors, whose sum is σ = 327433098940416. Its totient is φ = 12641461862400.

The previous prime is 66238233304273. The next prime is 66238233304351. The reversal of 66238233304320 is 2340333283266.

66238233304320 is a `hidden beast` number, since 6 + 6 + 238 + 23 + 330 + 43 + 20 = 666.

66238233304320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 521560892097 + ... + 521560892223.

It is an arithmetic number, because the mean of its divisors is an integer number (54139070592).

Almost surely, 2^{66238233304320} is an apocalyptic number.

66238233304320 is a gapful number since it is divisible by the number (60) 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 66238233304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163716549470208).

66238233304320 is an abundant number, since it is smaller than the sum of its proper divisors (261194865636096).

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

66238233304320 is a wasteful number, since it uses less digits than its factorization.

66238233304320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 45.

Adding to 66238233304320 its reverse (2340333283266), we get a palindrome (68578566587586).

The spelling of 66238233304320 in words is "sixty-six trillion, two hundred thirty-eight billion, two hundred thirty-three million, three hundred four thousand, three hundred twenty".