284006364768 has 576 divisors, whose sum is σ = 988737684480. Its totient is φ = 75578241024.

The previous prime is 284006364751. The next prime is 284006364779. The reversal of 284006364768 is 867463600482.

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, 400572798 + ... + 400573506.

It is an arithmetic number, because the mean of its divisors is an integer number (1716558480).

Almost surely, 2^284006364768 is an apocalyptic number.

284006364768 is a gapful number since it is divisible by the number (28) 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 284006364768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494368842240).

284006364768 is an abundant number, since it is smaller than the sum of its proper divisors (704731319712).

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

284006364768 is a wasteful number, since it uses less digits than its factorization.

284006364768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 284006364768 in words is "two hundred eighty-four billion, six million, three hundred sixty-four thousand, seven hundred sixty-eight".