284350706640 has 2160 divisors, whose sum is σ = 1355943214080. Its totient is φ = 52188364800.

The previous prime is 284350706639. The next prime is 284350706641. The reversal of 284350706640 is 46607053482.

284350706640 is a `hidden beast` number, since 2 + 8 + 43 + 507 + 0 + 66 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (284350706639) and next prime (284350706641).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284350706641) by changing a digit.

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 431 ways as a sum of consecutive naturals, for example, 3194951716 + ... + 3194951804.

It is an arithmetic number, because the mean of its divisors is an integer number (627751488).

Almost surely, 2^284350706640 is an apocalyptic number.

284350706640 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 284350706640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677971607040).

284350706640 is an abundant number, since it is smaller than the sum of its proper divisors (1071592507440).

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

284350706640 is a wasteful number, since it uses less digits than its factorization.

284350706640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 284350706640 in words is "two hundred eighty-four billion, three hundred fifty million, seven hundred six thousand, six hundred forty".