284386290768 has 320 divisors, whose sum is σ = 849945600000. Its totient is φ = 90979739136.

The previous prime is 284386290743. The next prime is 284386290821. The reversal of 284386290768 is 867092683482.

284386290768 is a `hidden beast` number, since 284 + 3 + 8 + 6 + 290 + 7 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 474768133 + ... + 474768731.

It is an arithmetic number, because the mean of its divisors is an integer number (2656080000).

Almost surely, 2^284386290768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284386290768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424972800000).

284386290768 is an abundant number, since it is smaller than the sum of its proper divisors (565559309232).

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

284386290768 is a wasteful number, since it uses less digits than its factorization.

284386290768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 284386290768 in words is "two hundred eighty-four billion, three hundred eighty-six million, two hundred ninety thousand, seven hundred sixty-eight".