610126682256 has 560 divisors, whose sum is σ = 2226085993600. Its totient is φ = 160898814720.

The previous prime is 610126682239. The next prime is 610126682257. The reversal of 610126682256 is 652286621016.

610126682256 is a `hidden beast` number, since 61 + 0 + 1 + 266 + 82 + 256 = 666.

It is not an unprimeable number, because it can be changed into a prime (610126682257) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 52003911 + ... + 52015641.

It is an arithmetic number, because the mean of its divisors is an integer number (3975153560).

Almost surely, 2^610126682256 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 610126682256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113042996800).

610126682256 is an abundant number, since it is smaller than the sum of its proper divisors (1615959311344).

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

610126682256 is a wasteful number, since it uses less digits than its factorization.

610126682256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11791 (or 11756 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 610126682256 in words is "six hundred ten billion, one hundred twenty-six million, six hundred eighty-two thousand, two hundred fifty-six".