66144300 has 72 divisors (see below), whose sum is σ = 193435536. Its totient is φ = 17448960.

The previous prime is 66144293. The next prime is 66144311. The reversal of 66144300 is 344166.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27964 + ... + 30236.

Almost surely, 2^66144300 is an apocalyptic number.

66144300 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 66144300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96717768).

66144300 is an abundant number, since it is smaller than the sum of its proper divisors (127291236).

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

66144300 is a wasteful number, since it uses less digits than its factorization.

66144300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 66144300 is about 8132.9146067077. The cubic root of 66144300 is about 404.4183083537.

Adding to 66144300 its reverse (344166), we get a palindrome (66488466).

The spelling of 66144300 in words is "sixty-six million, one hundred forty-four thousand, three hundred".