6075679456 has 96 divisors (see below), whose sum is σ = 14967445248. Its totient is φ = 2358512640.

The previous prime is 6075679451. The next prime is 6075679459. The reversal of 6075679456 is 6549765706.

It is a junction number, because it is equal to n+sod(n) for n = 6075679397 and 6075679406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6075679451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 692956 + ... + 701668.

It is an arithmetic number, because the mean of its divisors is an integer number (155910888).

Almost surely, 2^6075679456 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 6075679456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7483722624).

6075679456 is an abundant number, since it is smaller than the sum of its proper divisors (8891765792).

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

6075679456 is a wasteful number, since it uses less digits than its factorization.

6075679456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9024 (or 9016 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 55.

The square root of 6075679456 is about 77946.6449310039. The cubic root of 6075679456 is about 1824.7286222865.

The spelling of 6075679456 in words is "six billion, seventy-five million, six hundred seventy-nine thousand, four hundred fifty-six".