493780813344000 has 8064 divisors, whose sum is σ = 2388884191948800. Its totient is φ = 100956119040000.

The previous prime is 493780813343959. The next prime is 493780813344079. The reversal of 493780813344000 is 443318087394.

493780813344000 is a `hidden beast` number, since 4 + 93 + 7 + 8 + 0 + 81 + 33 + 440 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8064).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 4888918943950 + ... + 4888918944050.

It is an arithmetic number, because the mean of its divisors is an integer number (296240599200).

Almost surely, 2^{493780813344000} is an apocalyptic number.

493780813344000 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 493780813344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194442095974400).

493780813344000 is an abundant number, since it is smaller than the sum of its proper divisors (1895103378604800).

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

493780813344000 is an equidigital number, since it uses as much as digits as its factorization.

493780813344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 493780813344000 in words is "four hundred ninety-three trillion, seven hundred eighty billion, eight hundred thirteen million, three hundred forty-four thousand".