493748910720 has 384 divisors, whose sum is σ = 1840509216000. Its totient is φ = 121248276480.

The previous prime is 493748910691. The next prime is 493748910769. The reversal of 493748910720 is 27019847394.

493748910720 is a `hidden beast` number, since 4 + 9 + 37 + 489 + 107 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32265631 + ... + 32280929.

It is an arithmetic number, because the mean of its divisors is an integer number (4792992750).

Almost surely, 2^493748910720 is an apocalyptic number.

493748910720 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 493748910720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920254608000).

493748910720 is an abundant number, since it is smaller than the sum of its proper divisors (1346760305280).

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

493748910720 is a wasteful number, since it uses less digits than its factorization.

493748910720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15768 (or 15753 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 493748910720 in words is "four hundred ninety-three billion, seven hundred forty-eight million, nine hundred ten thousand, seven hundred twenty".