282749414640 has 640 divisors, whose sum is σ = 1118499840000. Its totient is φ = 57385144320.

The previous prime is 282749414611. The next prime is 282749414657. The reversal of 282749414640 is 46414947282.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 188624611 + ... + 188626109.

It is an arithmetic number, because the mean of its divisors is an integer number (1747656000).

Almost surely, 2^282749414640 is an apocalyptic number.

282749414640 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 282749414640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559249920000).

282749414640 is an abundant number, since it is smaller than the sum of its proper divisors (835750425360).

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

282749414640 is a wasteful number, since it uses less digits than its factorization.

282749414640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 282749414640 in words is "two hundred eighty-two billion, seven hundred forty-nine million, four hundred fourteen thousand, six hundred forty".