240856361568 has 240 divisors, whose sum is σ = 715805798400. Its totient is φ = 79444157184.

The previous prime is 240856361521. The next prime is 240856361593. The reversal of 240856361568 is 865163658042.

240856361568 is a `hidden beast` number, since 2 + 4 + 0 + 8 + 563 + 6 + 15 + 68 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 172162533 + ... + 172163931.

It is an arithmetic number, because the mean of its divisors is an integer number (2982524160).

Almost surely, 2^240856361568 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 240856361568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357902899200).

240856361568 is an abundant number, since it is smaller than the sum of its proper divisors (474949436832).

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

240856361568 is a wasteful number, since it uses less digits than its factorization.

240856361568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 240856361568 in words is "two hundred forty billion, eight hundred fifty-six million, three hundred sixty-one thousand, five hundred sixty-eight".