493675456560 has 320 divisors, whose sum is σ = 1807285326336. Its totient is φ = 109898956800.

The previous prime is 493675456493. The next prime is 493675456567. The reversal of 493675456560 is 65654576394.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 493675456494 and 493675456503.

It is not an unprimeable number, because it can be changed into a prime (493675456567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6586495 + ... + 6661025.

Almost surely, 2^493675456560 is an apocalyptic number.

493675456560 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 493675456560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903642663168).

493675456560 is an abundant number, since it is smaller than the sum of its proper divisors (1313609869776).

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

493675456560 is a wasteful number, since it uses less digits than its factorization.

493675456560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74764 (or 74758 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 60.

The spelling of 493675456560 in words is "four hundred ninety-three billion, six hundred seventy-five million, four hundred fifty-six thousand, five hundred sixty".