6712115624256 has 448 divisors, whose sum is σ = 21119537184768. Its totient is φ = 1841725734912.

The previous prime is 6712115624251. The next prime is 6712115624317. The reversal of 6712115624256 is 6524265112176.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6712115624251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 829368946 + ... + 829377038.

Almost surely, 2^{6712115624256} 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 6712115624256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10559768592384).

6712115624256 is an abundant number, since it is smaller than the sum of its proper divisors (14407421560512).

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

6712115624256 is a wasteful number, since it uses less digits than its factorization.

6712115624256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8398 (or 8388 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The spelling of 6712115624256 in words is "six trillion, seven hundred twelve billion, one hundred fifteen million, six hundred twenty-four thousand, two hundred fifty-six".