496968768 has 84 divisors (see below), whose sum is σ = 1427949900. Its totient is φ = 165252096.

The previous prime is 496968761. The next prime is 496968779. The reversal of 496968768 is 867869694.

496968768 is a `hidden beast` number, since 496 + 9 + 6 + 87 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98247744 + 398721024 = 9912^2 + 19968^2 .

It is not an unprimeable number, because it can be changed into a prime (496968761) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 320058 + ... + 321606.

Almost surely, 2^496968768 is an apocalyptic number.

496968768 is a gapful number since it is divisible by the number (48) 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 496968768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713974950).

496968768 is an abundant number, since it is smaller than the sum of its proper divisors (930981132).

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

496968768 is a wasteful number, since it uses less digits than its factorization.

496968768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2111 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The square root of 496968768 is about 22292.7963252706. The cubic root of 496968768 is about 792.0933468181.

It can be divided in two parts, 4969 and 68768, that added together give a palindrome (73737).

The spelling of 496968768 in words is "four hundred ninety-six million, nine hundred sixty-eight thousand, seven hundred sixty-eight".