493364034720 has 144 divisors (see below), whose sum is σ = 1684101549312. Its totient is φ = 131524922880.

The previous prime is 493364034707. The next prime is 493364034721. The reversal of 493364034720 is 27430463394.

493364034720 is a `hidden beast` number, since 493 + 3 + 64 + 0 + 34 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (493364034721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5007049 + ... + 5104631.

It is an arithmetic number, because the mean of its divisors is an integer number (11695149648).

Almost surely, 2^493364034720 is an apocalyptic number.

493364034720 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 493364034720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842050774656).

493364034720 is an abundant number, since it is smaller than the sum of its proper divisors (1190737514592).

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

493364034720 is a wasteful number, since it uses less digits than its factorization.

493364034720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101115 (or 101104 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 493364034720 in words is "four hundred ninety-three billion, three hundred sixty-four million, thirty-four thousand, seven hundred twenty".