493364462976000 has 6336 divisors, whose sum is σ = 2361717015770112. Its totient is φ = 100508221440000.

The previous prime is 493364462975987. The next prime is 493364462976059. The reversal of 493364462976000 is 679264463394.

493364462976000 is a `hidden beast` number, since 4 + 9 + 336 + 4 + 4 + 6 + 297 + 6 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1607050367847 + ... + 1607050368153.

Almost surely, 2^{493364462976000} is an apocalyptic number.

493364462976000 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 493364462976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180858507885056).

493364462976000 is an abundant number, since it is smaller than the sum of its proper divisors (1868352552794112).

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

493364462976000 is a wasteful number, since it uses less digits than its factorization.

493364462976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 63.

The spelling of 493364462976000 in words is "four hundred ninety-three trillion, three hundred sixty-four billion, four hundred sixty-two million, nine hundred seventy-six thousand".