68434877206656 has 256 divisors, whose sum is σ = 205537209360000. Its totient is φ = 22410541486080.

The previous prime is 68434877206583. The next prime is 68434877206727. The reversal of 68434877206656 is 65660277843486.

It is a happy number.

68434877206656 is a `hidden beast` number, since 6 + 8 + 4 + 348 + 77 + 206 + 6 + 5 + 6 = 666.

68434877206656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174570675 + ... + 174962253.

Almost surely, 2^{68434877206656} 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 68434877206656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102768604680000).

68434877206656 is an abundant number, since it is smaller than the sum of its proper divisors (137102332153344).

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

68434877206656 is a wasteful number, since it uses less digits than its factorization.

68434877206656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392492 (or 392474 counting only the distinct ones).

The product of its (nonzero) digits is 1950842880, while the sum is 72.

The spelling of 68434877206656 in words is "sixty-eight trillion, four hundred thirty-four billion, eight hundred seventy-seven million, two hundred six thousand, six hundred fifty-six".