491949673205760 has 3744 divisors, whose sum is σ = 2272251328945920. Its totient is φ = 98835274137600.

The previous prime is 491949673205741. The next prime is 491949673205777. The reversal of 491949673205760 is 67502376949194.

491949673205760 is a `hidden beast` number, since 4 + 9 + 1 + 9 + 49 + 6 + 7 + 3 + 2 + 0 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 450091191774 + ... + 450091192866.

Almost surely, 2^{491949673205760} is an apocalyptic number.

491949673205760 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 491949673205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136125664472960).

491949673205760 is an abundant number, since it is smaller than the sum of its proper divisors (1780301655740160).

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

491949673205760 is a wasteful number, since it uses less digits than its factorization.

491949673205760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 491949673205760 in words is "four hundred ninety-one trillion, nine hundred forty-nine billion, six hundred seventy-three million, two hundred five thousand, seven hundred sixty".