496685664 has 72 divisors (see below), whose sum is σ = 1415133720. Its totient is φ = 165247488.

The previous prime is 496685663. The next prime is 496685677. The reversal of 496685664 is 466586694.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 496685664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496685663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188484 + ... + 191100.

It is an arithmetic number, because the mean of its divisors is an integer number (19654635).

Almost surely, 2^496685664 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 496685664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707566860).

496685664 is an abundant number, since it is smaller than the sum of its proper divisors (918448056).

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

496685664 is a wasteful number, since it uses less digits than its factorization.

496685664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3292 (or 3281 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 496685664 is about 22286.4457462378. The cubic root of 496685664 is about 791.9429098732.

The spelling of 496685664 in words is "four hundred ninety-six million, six hundred eighty-five thousand, six hundred sixty-four".