6256486506816 has 672 divisors, whose sum is σ = 23428320814080. Its totient is φ = 1549112573952.

The previous prime is 6256486506779. The next prime is 6256486506821. The reversal of 6256486506816 is 6186056846526.

It is a happy number.

6256486506816 is a `hidden beast` number, since 6 + 2 + 5 + 6 + 48 + 6 + 506 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 364439865 + ... + 364457031.

It is an arithmetic number, because the mean of its divisors is an integer number (34863572640).

Almost surely, 2^{6256486506816} 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 6256486506816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11714160407040).

6256486506816 is an abundant number, since it is smaller than the sum of its proper divisors (17171834307264).

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

6256486506816 is a wasteful number, since it uses less digits than its factorization.

6256486506816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17631 (or 17618 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 6256486506816 in words is "six trillion, two hundred fifty-six billion, four hundred eighty-six million, five hundred six thousand, eight hundred sixteen".