66214464 has 56 divisors (see below), whose sum is σ = 176174400. Its totient is φ = 21947904.

The previous prime is 66214441. The next prime is 66214469. The reversal of 66214464 is 46441266.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (66214469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37342 + ... + 39074.

Almost surely, 2^66214464 is an apocalyptic number.

66214464 is a gapful number since it is divisible by the number (64) 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 66214464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88087200).

66214464 is an abundant number, since it is smaller than the sum of its proper divisors (109959936).

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

66214464 is a wasteful number, since it uses less digits than its factorization.

66214464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1937 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 66214464 is about 8137.2270461134. The cubic root of 66214464 is about 404.5612563162.

The spelling of 66214464 in words is "sixty-six million, two hundred fourteen thousand, four hundred sixty-four".