6257626256256 has 128 divisors (see below), whose sum is σ = 16649003692800. Its totient is φ = 2082466971648.

The previous prime is 6257626256191. The next prime is 6257626256347. The reversal of 6257626256256 is 6526526267526.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 6257626256256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 761356915 + ... + 761365133.

It is an arithmetic number, because the mean of its divisors is an integer number (130070341350).

Almost surely, 2^{6257626256256} 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 6257626256256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8324501846400).

6257626256256 is an abundant number, since it is smaller than the sum of its proper divisors (10391377436544).

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

6257626256256 is a wasteful number, since it uses less digits than its factorization.

6257626256256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11236 (or 11224 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 60.

The spelling of 6257626256256 in words is "six trillion, two hundred fifty-seven billion, six hundred twenty-six million, two hundred fifty-six thousand, two hundred fifty-six".