282343274640 has 1280 divisors, whose sum is σ = 1214459412480. Its totient is φ = 59570380800.

The previous prime is 282343274599. The next prime is 282343274671. The reversal of 282343274640 is 46472343282.

282343274640 is a `hidden beast` number, since 282 + 3 + 4 + 327 + 4 + 6 + 40 = 666.

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

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, 1478236945 + ... + 1478237135.

It is an arithmetic number, because the mean of its divisors is an integer number (948796416).

Almost surely, 2^282343274640 is an apocalyptic number.

282343274640 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 282343274640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607229706240).

282343274640 is an abundant number, since it is smaller than the sum of its proper divisors (932116137840).

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

282343274640 is a wasteful number, since it uses less digits than its factorization.

282343274640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 282343274640 in words is "two hundred eighty-two billion, three hundred forty-three million, two hundred seventy-four thousand, six hundred forty".