493140713760 has 960 divisors, whose sum is σ = 1923402184704. Its totient is φ = 118444032000.

The previous prime is 493140713759. The next prime is 493140713773. The reversal of 493140713760 is 67317041394.

493140713760 is a `hidden beast` number, since 493 + 1 + 4 + 0 + 71 + 37 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 703481410 + ... + 703482110.

Almost surely, 2^493140713760 is an apocalyptic number.

493140713760 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 493140713760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961701092352).

493140713760 is an abundant number, since it is smaller than the sum of its proper divisors (1430261470944).

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

493140713760 is a wasteful number, since it uses less digits than its factorization.

493140713760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 493140713760 in words is "four hundred ninety-three billion, one hundred forty million, seven hundred thirteen thousand, seven hundred sixty".