493684824960 has 384 divisors, whose sum is σ = 1798539724800. Its totient is φ = 124438228992.

The previous prime is 493684824953. The next prime is 493684825001. The reversal of 493684824960 is 69428486394.

493684824960 is a `hidden beast` number, since 4 + 9 + 3 + 68 + 4 + 82 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50665849 + ... + 50675591.

It is an arithmetic number, because the mean of its divisors is an integer number (4683697200).

Almost surely, 2^493684824960 is an apocalyptic number.

493684824960 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 493684824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899269862400).

493684824960 is an abundant number, since it is smaller than the sum of its proper divisors (1304854899840).

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

493684824960 is a wasteful number, since it uses less digits than its factorization.

493684824960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10250 (or 10235 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 493684824960 in words is "four hundred ninety-three billion, six hundred eighty-four million, eight hundred twenty-four thousand, nine hundred sixty".