6481715256 has 320 divisors, whose sum is σ = 20022266880. Its totient is φ = 1950842880.

The previous prime is 6481715243. The next prime is 6481715269. The reversal of 6481715256 is 6525171846.

6481715256 is a `hidden beast` number, since 6 + 481 + 71 + 52 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (6481715243) and next prime (6481715269).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51037065 + ... + 51037191.

It is an arithmetic number, because the mean of its divisors is an integer number (62569584).

Almost surely, 2^6481715256 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 6481715256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10011133440).

6481715256 is an abundant number, since it is smaller than the sum of its proper divisors (13540551624).

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

6481715256 is a wasteful number, since it uses less digits than its factorization.

6481715256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 303 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 6481715256 is about 80509.1004545449. The cubic root of 6481715256 is about 1864.5039859492.

The spelling of 6481715256 in words is "six billion, four hundred eighty-one million, seven hundred fifteen thousand, two hundred fifty-six".