66216000 has 224 divisors, whose sum is σ = 228234240. Its totient is φ = 16896000.

The previous prime is 66215999. The next prime is 66216013. The reversal of 66216000 is 61266.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 743956 + ... + 744044.

Almost surely, 2^66216000 is an apocalyptic number.

66216000 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 66216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114117120).

66216000 is an abundant number, since it is smaller than the sum of its proper divisors (162018240).

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

66216000 is a wasteful number, since it uses less digits than its factorization.

66216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 66216000 is about 8137.3214266121. The cubic root of 66216000 is about 404.5643845415.

Adding to 66216000 its reverse (61266), we get a palindrome (66277266).

It can be divided in two parts, 6621 and 6000, that added together give a palindrome (12621).

The spelling of 66216000 in words is "sixty-six million, two hundred sixteen thousand".