240082053768 has 192 divisors, whose sum is σ = 693145252800. Its totient is φ = 74964879360.

The previous prime is 240082053751. The next prime is 240082053779. The reversal of 240082053768 is 867350280042.

240082053768 is a `hidden beast` number, since 2 + 400 + 8 + 205 + 37 + 6 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7473196 + ... + 7505252.

It is an arithmetic number, because the mean of its divisors is an integer number (3610131525).

Almost surely, 2^240082053768 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 240082053768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346572626400).

240082053768 is an abundant number, since it is smaller than the sum of its proper divisors (453063199032).

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

240082053768 is a wasteful number, since it uses less digits than its factorization.

240082053768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32212 (or 32205 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 240082053768 in words is "two hundred forty billion, eighty-two million, fifty-three thousand, seven hundred sixty-eight".