491727667200 has 720 divisors, whose sum is σ = 2027523396864. Its totient is φ = 102157516800.

The previous prime is 491727667157. The next prime is 491727667231. The reversal of 491727667200 is 2766727194.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94615002 + ... + 94620198.

Almost surely, 2^491727667200 is an apocalyptic number.

491727667200 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 491727667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013761698432).

491727667200 is an abundant number, since it is smaller than the sum of its proper divisors (1535795729664).

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

491727667200 is a wasteful number, since it uses less digits than its factorization.

491727667200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5256 (or 5225 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 51.

The spelling of 491727667200 in words is "four hundred ninety-one billion, seven hundred twenty-seven million, six hundred sixty-seven thousand, two hundred".