66432300 has 144 divisors (see below), whose sum is σ = 215236224. Its totient is φ = 15680000.

The previous prime is 66432251. The next prime is 66432307. The reversal of 66432300 is 323466.

It is not an unprimeable number, because it can be changed into a prime (66432307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135055 + ... + 135545.

It is an arithmetic number, because the mean of its divisors is an integer number (1494696).

Almost surely, 2^66432300 is an apocalyptic number.

66432300 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 66432300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107618112).

66432300 is an abundant number, since it is smaller than the sum of its proper divisors (148803924).

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

66432300 is a wasteful number, since it uses less digits than its factorization.

66432300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 66432300 is about 8150.6012048192. The cubic root of 66432300 is about 405.0044200097.

Adding to 66432300 its reverse (323466), we get a palindrome (66755766).

The spelling of 66432300 in words is "sixty-six million, four hundred thirty-two thousand, three hundred".