6870711456 has 144 divisors (see below), whose sum is σ = 22427181504. Its totient is φ = 1954501632.

The previous prime is 6870711451. The next prime is 6870711461. The reversal of 6870711456 is 6541170786.

6870711456 is a `hidden beast` number, since 68 + 70 + 71 + 1 + 456 = 666.

It is an interprime number because it is at equal distance from previous prime (6870711451) and next prime (6870711461).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (6870711451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 462415 + ... + 477041.

It is an arithmetic number, because the mean of its divisors is an integer number (155744316).

Almost surely, 2^6870711456 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 6870711456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11213590752).

6870711456 is an abundant number, since it is smaller than the sum of its proper divisors (15556470048).

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

6870711456 is a wasteful number, since it uses less digits than its factorization.

6870711456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14883 (or 14872 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 6870711456 is about 82889.7548313421. The cubic root of 6870711456 is about 1901.0807753193.

The spelling of 6870711456 in words is "six billion, eight hundred seventy million, seven hundred eleven thousand, four hundred fifty-six".