491984319946560 has 672 divisors, whose sum is σ = 1882292026924800. Its totient is φ = 108825954693120.

The previous prime is 491984319946531. The next prime is 491984319946667. The reversal of 491984319946560 is 65649913489194.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 315660702 + ... + 317215458.

Almost surely, 2^{491984319946560} is an apocalyptic number.

491984319946560 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 491984319946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941146013462400).

491984319946560 is an abundant number, since it is smaller than the sum of its proper divisors (1390307706978240).

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

491984319946560 is a wasteful number, since it uses less digits than its factorization.

491984319946560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554860 (or 1554805 counting only the distinct ones).

The product of its (nonzero) digits is 1813985280, while the sum is 78.

The spelling of 491984319946560 in words is "four hundred ninety-one trillion, nine hundred eighty-four billion, three hundred nineteen million, nine hundred forty-six thousand, five hundred sixty".