491375757600 has 1728 divisors, whose sum is σ = 2216072162304. Its totient is φ = 99702005760.

The previous prime is 491375757599. The next prime is 491375757637. The reversal of 491375757600 is 6757573194.

491375757600 is a `hidden beast` number, since 4 + 9 + 1 + 3 + 7 + 575 + 7 + 60 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3014575119 + ... + 3014575281.

It is an arithmetic number, because the mean of its divisors is an integer number (1282449168).

Almost surely, 2^491375757600 is an apocalyptic number.

491375757600 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 491375757600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108036081152).

491375757600 is an abundant number, since it is smaller than the sum of its proper divisors (1724696404704).

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

491375757600 is a wasteful number, since it uses less digits than its factorization.

491375757600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 491375757600 in words is "four hundred ninety-one billion, three hundred seventy-five million, seven hundred fifty-seven thousand, six hundred".