74064564 has 72 divisors (see below), whose sum is σ = 220153920. Its totient is φ = 21093696.

The previous prime is 74064541. The next prime is 74064569. The reversal of 74064564 is 46546047.

74064564 is a `hidden beast` number, since 7 + 4 + 0 + 645 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74064569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236472 + ... + 236784.

Almost surely, 2^74064564 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 74064564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110076960).

74064564 is an abundant number, since it is smaller than the sum of its proper divisors (146089356).

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

74064564 is a wasteful number, since it uses less digits than its factorization.

74064564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 74064564 is about 8606.0771551271. The cubic root of 74064564 is about 419.9557096153.

The spelling of 74064564 in words is "seventy-four million, sixty-four thousand, five hundred sixty-four".