66388464 has 80 divisors (see below), whose sum is σ = 191654400. Its totient is φ = 22002624.

The previous prime is 66388459. The next prime is 66388481. The reversal of 66388464 is 46488366.

66388464 is a `hidden beast` number, since 6 + 638 + 8 + 4 + 6 + 4 = 666.

66388464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102927 + ... + 103569.

It is an arithmetic number, because the mean of its divisors is an integer number (2395680).

Almost surely, 2^66388464 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 66388464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95827200).

66388464 is an abundant number, since it is smaller than the sum of its proper divisors (125265936).

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

66388464 is a wasteful number, since it uses less digits than its factorization.

66388464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 887 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 66388464 is about 8147.9116342778. The cubic root of 66388464 is about 404.9153183719.

The spelling of 66388464 in words is "sixty-six million, three hundred eighty-eight thousand, four hundred sixty-four".