66364416 has 132 divisors (see below), whose sum is σ = 202243600. Its totient is φ = 20901888.

The previous prime is 66364391. The next prime is 66364433. The reversal of 66364416 is 61446366.

66364416 is a `hidden beast` number, since 6 + 6 + 3 + 644 + 1 + 6 = 666.

It is a super-2 number, since 2×66364416² = 8808471422042112, which contains 22 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174915 + ... + 175293.

Almost surely, 2^66364416 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 66364416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101121800).

66364416 is an abundant number, since it is smaller than the sum of its proper divisors (135879184).

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

66364416 is a wasteful number, since it uses less digits than its factorization.

66364416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 403 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 66364416 is about 8146.4357850535. The cubic root of 66364416 is about 404.8664214253.

The spelling of 66364416 in words is "sixty-six million, three hundred sixty-four thousand, four hundred sixteen".