491675220288 has 672 divisors, whose sum is σ = 1707903445248. Its totient is φ = 137355264000.

The previous prime is 491675220269. The next prime is 491675220317. The reversal of 491675220288 is 882022576194.

491675220288 is a `hidden beast` number, since 4 + 91 + 6 + 7 + 522 + 0 + 28 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1066540378 + ... + 1066540838.

It is an arithmetic number, because the mean of its divisors is an integer number (2541522984).

Almost surely, 2^491675220288 is an apocalyptic number.

491675220288 is a gapful number since it is divisible by the number (48) 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 491675220288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853951722624).

491675220288 is an abundant number, since it is smaller than the sum of its proper divisors (1216228224960).

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

491675220288 is a wasteful number, since it uses less digits than its factorization.

491675220288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 491675220288 in words is "four hundred ninety-one billion, six hundred seventy-five million, two hundred twenty thousand, two hundred eighty-eight".