768282012324840 has 512 divisors, whose sum is σ = 2653427904422400. Its totient is φ = 176898869084160.

The previous prime is 768282012324829. The next prime is 768282012324881. The reversal of 768282012324840 is 48423210282867.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1248970150 + ... + 1249585130.

It is an arithmetic number, because the mean of its divisors is an integer number (5182476375825).

Almost surely, 2^{768282012324840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768282012324840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326713952211200).

768282012324840 is an abundant number, since it is smaller than the sum of its proper divisors (1885145892097560).

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

768282012324840 is a wasteful number, since it uses less digits than its factorization.

768282012324840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615222 (or 615184 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 57.

The spelling of 768282012324840 in words is "seven hundred sixty-eight trillion, two hundred eighty-two billion, twelve million, three hundred twenty-four thousand, eight hundred forty".