284304973680 has 960 divisors, whose sum is σ = 1237200814080. Its totient is φ = 59476322304.

The previous prime is 284304973619. The next prime is 284304973709. The reversal of 284304973680 is 86379403482.

284304973680 is a `hidden beast` number, since 2 + 8 + 43 + 0 + 497 + 36 + 80 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 174741027 + ... + 174742653.

It is an arithmetic number, because the mean of its divisors is an integer number (1288750848).

Almost surely, 2^284304973680 is an apocalyptic number.

284304973680 is a gapful number since it is divisible by the number (20) 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 284304973680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618600407040).

284304973680 is an abundant number, since it is smaller than the sum of its proper divisors (952895840400).

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

284304973680 is a wasteful number, since it uses less digits than its factorization.

284304973680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 284304973680 in words is "two hundred eighty-four billion, three hundred four million, nine hundred seventy-three thousand, six hundred eighty".