66114406800 has 720 divisors, whose sum is σ = 257455744000. Its totient is φ = 15601766400.

The previous prime is 66114406777. The next prime is 66114406811. The reversal of 66114406800 is 860441166.

66114406800 is a `hidden beast` number, since 66 + 114 + 406 + 80 + 0 = 666.

66114406800 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 (720).

It is a super-2 number, since 2×66114406800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 288709086 + ... + 288709314.

Almost surely, 2^66114406800 is an apocalyptic number.

66114406800 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 66114406800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128727872000).

66114406800 is an abundant number, since it is smaller than the sum of its proper divisors (191341337200).

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

66114406800 is a wasteful number, since it uses less digits than its factorization.

66114406800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 66114406800 its reverse (860441166), we get a palindrome (66974847966).

The spelling of 66114406800 in words is "sixty-six billion, one hundred fourteen million, four hundred six thousand, eight hundred".