664807416 has 256 divisors, whose sum is σ = 2216524800. Its totient is φ = 161243136.

The previous prime is 664807411. The next prime is 664807439. The reversal of 664807416 is 614708466.

664807416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664807411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1535136 + ... + 1535568.

It is an arithmetic number, because the mean of its divisors is an integer number (8658300).

Almost surely, 2^664807416 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 664807416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108262400).

664807416 is an abundant number, since it is smaller than the sum of its proper divisors (1551717384).

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

664807416 is a wasteful number, since it uses less digits than its factorization.

664807416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 664807416 is about 25783.8596024722. The cubic root of 664807416 is about 872.7676060826.

The spelling of 664807416 in words is "six hundred sixty-four million, eight hundred seven thousand, four hundred sixteen".