493501759488 has 480 divisors, whose sum is σ = 1562749977600. Its totient is φ = 153373114368.

The previous prime is 493501759483. The next prime is 493501759489. The reversal of 493501759488 is 884957105394.

493501759488 is a `hidden beast` number, since 4 + 9 + 35 + 0 + 1 + 7 + 594 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493501759481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1030274833 + ... + 1030275311.

It is an arithmetic number, because the mean of its divisors is an integer number (3255729120).

Almost surely, 2^493501759488 is an apocalyptic number.

493501759488 is a gapful number since it is divisible by the number (48) 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 493501759488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781374988800).

493501759488 is an abundant number, since it is smaller than the sum of its proper divisors (1069248218112).

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

493501759488 is a wasteful number, since it uses less digits than its factorization.

493501759488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 493501759488 in words is "four hundred ninety-three billion, five hundred one million, seven hundred fifty-nine thousand, four hundred eighty-eight".