64416384 has 192 divisors, whose sum is σ = 204204000. Its totient is φ = 20155392.

The previous prime is 64416379. The next prime is 64416421. The reversal of 64416384 is 48361446.

64416384 is a `hidden beast` number, since 644 + 1 + 6 + 3 + 8 + 4 = 666.

64416384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×64416384³ (a number of 24 digits) contains 333 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 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 23 ways as a sum of consecutive naturals, for example, 590922 + ... + 591030.

Almost surely, 2^64416384 is an apocalyptic number.

64416384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64416384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102102000).

64416384 is an abundant number, since it is smaller than the sum of its proper divisors (139787616).

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

64416384 is a wasteful number, since it uses less digits than its factorization.

64416384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 133 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 64416384 is about 8025.9818090997. The cubic root of 64416384 is about 400.8655921909.

The spelling of 64416384 in words is "sixty-four million, four hundred sixteen thousand, three hundred eighty-four".