493730667840 has 224 divisors, whose sum is σ = 1576870364160. Its totient is φ = 130884812800.

The previous prime is 493730667821. The next prime is 493730667841. The reversal of 493730667840 is 48766037394.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493730667841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129213130 + ... + 129216950.

It is an arithmetic number, because the mean of its divisors is an integer number (7039599840).

Almost surely, 2^493730667840 is an apocalyptic number.

493730667840 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 493730667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788435182080).

493730667840 is an abundant number, since it is smaller than the sum of its proper divisors (1083139696320).

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

493730667840 is a wasteful number, since it uses less digits than its factorization.

493730667840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4601 (or 4591 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 57.

The spelling of 493730667840 in words is "four hundred ninety-three billion, seven hundred thirty million, six hundred sixty-seven thousand, eight hundred forty".