68436072032256 has 240 divisors, whose sum is σ = 205079402848320. Its totient is φ = 22737700823040.

The previous prime is 68436072032233. The next prime is 68436072032281. The reversal of 68436072032256 is 65223027063486.

68436072032256 is a `hidden beast` number, since 6 + 8 + 4 + 3 + 607 + 2 + 0 + 3 + 2 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 19 ways as a sum of consecutive naturals, for example, 50255721 + ... + 51599511.

It is an arithmetic number, because the mean of its divisors is an integer number (854497511868).

Almost surely, 2^{68436072032256} 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 68436072032256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102539701424160).

68436072032256 is an abundant number, since it is smaller than the sum of its proper divisors (136643330816064).

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

68436072032256 is a wasteful number, since it uses less digits than its factorization.

68436072032256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344132 (or 1344103 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 68436072032256 in words is "sixty-eight trillion, four hundred thirty-six billion, seventy-two million, thirty-two thousand, two hundred fifty-six".