491765760000 has 1080 divisors, whose sum is σ = 1916307272880. Its totient is φ = 121110528000.

The previous prime is 491765759987. The next prime is 491765760077. The reversal of 491765760000 is 67567194.

It is a happy number.

491765760000 is a `hidden beast` number, since 4 + 9 + 1 + 76 + 576 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16957439986 + ... + 16957440014.

It is an arithmetic number, because the mean of its divisors is an integer number (1774358586).

Almost surely, 2^491765760000 is an apocalyptic number.

491765760000 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 491765760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958153636440).

491765760000 is an abundant number, since it is smaller than the sum of its proper divisors (1424541512880).

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

491765760000 is an frugal number, since it uses more digits than its factorization.

491765760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 491765760000 in words is "four hundred ninety-one billion, seven hundred sixty-five million, seven hundred sixty thousand".