491364679680 has 576 divisors, whose sum is σ = 1997152174080. Its totient is φ = 112283615232.

The previous prime is 491364679633. The next prime is 491364679697. The reversal of 491364679680 is 86976463194.

491364679680 is a `hidden beast` number, since 4 + 9 + 1 + 3 + 6 + 467 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123861057 + ... + 123865023.

It is an arithmetic number, because the mean of its divisors is an integer number (3467278080).

Almost surely, 2^491364679680 is an apocalyptic number.

491364679680 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 491364679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998576087040).

491364679680 is an abundant number, since it is smaller than the sum of its proper divisors (1505787494400).

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

491364679680 is an frugal number, since it uses more digits than its factorization.

491364679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4022 (or 3984 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 491364679680 in words is "four hundred ninety-one billion, three hundred sixty-four million, six hundred seventy-nine thousand, six hundred eighty".