496647782400 has 1440 divisors, whose sum is σ = 2129718689280. Its totient is φ = 99090432000.

The previous prime is 496647782383. The next prime is 496647782413. The reversal of 496647782400 is 4287746694.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 2743910310 + ... + 2743910490.

It is an arithmetic number, because the mean of its divisors is an integer number (1478971312).

Almost surely, 2^496647782400 is an apocalyptic number.

496647782400 is a gapful number since it is divisible by the number (40) 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 496647782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064859344640).

496647782400 is an abundant number, since it is smaller than the sum of its proper divisors (1633070906880).

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

496647782400 is a wasteful number, since it uses less digits than its factorization.

496647782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 57.

The spelling of 496647782400 in words is "four hundred ninety-six billion, six hundred forty-seven million, seven hundred eighty-two thousand, four hundred".