66223750348800 has 2688 divisors, whose sum is σ = 284901906651120. Its totient is φ = 15084394905600.

The previous prime is 66223750348753. The next prime is 66223750348801. The reversal of 66223750348800 is 884305732266.

66223750348800 is a `hidden beast` number, since 6 + 6 + 22 + 37 + 503 + 4 + 8 + 80 + 0 = 666.

It is a super-2 number, since 2×66223750348800² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66223750348801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 111675801304 + ... + 111675801896.

Almost surely, 2^{66223750348800} is an apocalyptic number.

66223750348800 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 66223750348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142450953325560).

66223750348800 is an abundant number, since it is smaller than the sum of its proper divisors (218678156302320).

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

66223750348800 is an equidigital number, since it uses as much as digits as its factorization.

66223750348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 66223750348800 in words is "sixty-six trillion, two hundred twenty-three billion, seven hundred fifty million, three hundred forty-eight thousand, eight hundred".