66264264 has 96 divisors (see below), whose sum is σ = 202010400. Its totient is φ = 19959840.

The previous prime is 66264259. The next prime is 66264269. The reversal of 66264264 is 46246266.

66264264 is a `hidden beast` number, since 6 + 6 + 2 + 642 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (66264259) and next prime (66264269).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (66264269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396709 + ... + 396875.

It is an arithmetic number, because the mean of its divisors is an integer number (2104275).

Almost surely, 2^66264264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66264264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101005200).

66264264 is an abundant number, since it is smaller than the sum of its proper divisors (135746136).

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

66264264 is a wasteful number, since it uses less digits than its factorization.

66264264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 183 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 66264264 is about 8140.2864814452. The cubic root of 66264264 is about 404.6626546138.

The spelling of 66264264 in words is "sixty-six million, two hundred sixty-four thousand, two hundred sixty-four".