66461140200 has 288 divisors, whose sum is σ = 258104417760. Its totient is φ = 14022489600.

The previous prime is 66461140183. The next prime is 66461140201. The reversal of 66461140200 is 204116466.

66461140200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (66461140201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 295255 + ... + 469145.

It is an arithmetic number, because the mean of its divisors is an integer number (896195895).

Almost surely, 2^66461140200 is an apocalyptic number.

66461140200 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 66461140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129052208880).

66461140200 is an abundant number, since it is smaller than the sum of its proper divisors (191643277560).

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

66461140200 is a wasteful number, since it uses less digits than its factorization.

66461140200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173937 (or 173921 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 66461140200 its reverse (204116466), we get a palindrome (66665256666).

The spelling of 66461140200 in words is "sixty-six billion, four hundred sixty-one million, one hundred forty thousand, two hundred".