42664464 has 60 divisors (see below), whose sum is σ = 120779100. Its totient is φ = 14057472.

The previous prime is 42664451. The next prime is 42664469. The reversal of 42664464 is 46446624.

It is a happy number.

42664464 is a `hidden beast` number, since 4 + 2 + 6 + 644 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12194064 + 30470400 = 3492^2 + 5520^2 .

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 (42664469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11152 + ... + 14480.

It is an arithmetic number, because the mean of its divisors is an integer number (2012985).

Almost surely, 2^42664464 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 42664464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60389550).

42664464 is an abundant number, since it is smaller than the sum of its proper divisors (78114636).

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

42664464 is a wasteful number, since it uses less digits than its factorization.

42664464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432 (or 3423 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 42664464 is about 6531.8040387017. The cubic root of 42664464 is about 349.4261726455.

The spelling of 42664464 in words is "forty-two million, six hundred sixty-four thousand, four hundred sixty-four".