493126704000 has 768 divisors, whose sum is σ = 2099009203200. Its totient is φ = 112708454400.

The previous prime is 493126703999. The next prime is 493126704013. The reversal of 493126704000 is 407621394.

493126704000 is a `hidden beast` number, since 493 + 126 + 7 + 0 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27206941 + ... + 27225059.

It is an arithmetic number, because the mean of its divisors is an integer number (2733084900).

Almost surely, 2^493126704000 is an apocalyptic number.

493126704000 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 493126704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049504601600).

493126704000 is an abundant number, since it is smaller than the sum of its proper divisors (1605882499200).

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

493126704000 is an equidigital number, since it uses as much as digits as its factorization.

493126704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18170 (or 18136 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 493126704000 in words is "four hundred ninety-three billion, one hundred twenty-six million, seven hundred four thousand".