493664403456000 has 5760 divisors, whose sum is σ = 2327252653440000. Its totient is φ = 99883155456000.

The previous prime is 493664403455953. The next prime is 493664403456071. The reversal of 493664403456000 is 654304466394.

493664403456000 is a `hidden beast` number, since 4 + 9 + 3 + 6 + 6 + 4 + 40 + 34 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15924658175985 + ... + 15924658176015.

It is an arithmetic number, because the mean of its divisors is an integer number (404036919000).

Almost surely, 2^{493664403456000} is an apocalyptic number.

493664403456000 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 493664403456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163626326720000).

493664403456000 is an abundant number, since it is smaller than the sum of its proper divisors (1833588249984000).

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

493664403456000 is an equidigital number, since it uses as much as digits as its factorization.

493664403456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 54.

The spelling of 493664403456000 in words is "four hundred ninety-three trillion, six hundred sixty-four billion, four hundred three million, four hundred fifty-six thousand".