304193863680 has 864 divisors, whose sum is σ = 1199499259392. Its totient is φ = 64361594880.

The previous prime is 304193863643. The next prime is 304193863691. The reversal of 304193863680 is 86368391403.

It is a congruent number.

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, 9812705265 + ... + 9812705295.

It is an arithmetic number, because the mean of its divisors is an integer number (1388309328).

Almost surely, 2^304193863680 is an apocalyptic number.

304193863680 is a gapful number since it is divisible by the number (30) 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 304193863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599749629696).

304193863680 is an abundant number, since it is smaller than the sum of its proper divisors (895305395712).

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

304193863680 is an frugal number, since it uses more digits than its factorization.

304193863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 304193863680 in words is "three hundred four billion, one hundred ninety-three million, eight hundred sixty-three thousand, six hundred eighty".