284009768640 has 1792 divisors, whose sum is σ = 1209290342400. Its totient is φ = 62884823040.

The previous prime is 284009768629. The next prime is 284009768683. The reversal of 284009768640 is 46867900482.

It is a super-3 number, since 3×284009768640³ (a number of 35 digits) contains 333 as substring.

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5358674854 + ... + 5358674906.

It is an arithmetic number, because the mean of its divisors is an integer number (674827200).

Almost surely, 2^284009768640 is an apocalyptic number.

284009768640 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 284009768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604645171200).

284009768640 is an abundant number, since it is smaller than the sum of its proper divisors (925280573760).

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

284009768640 is a wasteful number, since it uses less digits than its factorization.

284009768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 284009768640 in words is "two hundred eighty-four billion, nine million, seven hundred sixty-eight thousand, six hundred forty".