493076666880 has 1440 divisors, whose sum is σ = 2119124367360. Its totient is φ = 105345515520.

The previous prime is 493076666869. The next prime is 493076666891. The reversal of 493076666880 is 88666670394.

It is an interprime number because it is at equal distance from previous prime (493076666869) and next prime (493076666891).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 2724180390 + ... + 2724180570.

It is an arithmetic number, because the mean of its divisors is an integer number (1471614144).

Almost surely, 2^493076666880 is an apocalyptic number.

493076666880 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 493076666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059562183680).

493076666880 is an abundant number, since it is smaller than the sum of its proper divisors (1626047700480).

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

493076666880 is a wasteful number, since it uses less digits than its factorization.

493076666880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 493076666880 in words is "four hundred ninety-three billion, seventy-six million, six hundred sixty-six thousand, eight hundred eighty".