664636416 has 176 divisors, whose sum is σ = 1906166400. Its totient is φ = 205258752.

The previous prime is 664636411. The next prime is 664636499. The reversal of 664636416 is 614636466.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 (664636411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3443616 + ... + 3443808.

Almost surely, 2^664636416 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 664636416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953083200).

664636416 is an abundant number, since it is smaller than the sum of its proper divisors (1241529984).

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

664636416 is a wasteful number, since it uses less digits than its factorization.

664636416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 276 counting only the distinct ones).

The product of its digits is 373248, while the sum is 42.

The square root of 664636416 is about 25780.5433612250. The cubic root of 664636416 is about 872.6927693430.

The spelling of 664636416 in words is "six hundred sixty-four million, six hundred thirty-six thousand, four hundred sixteen".