6427846656 has 432 divisors, whose sum is σ = 23595455520. Its totient is φ = 1666990080.

The previous prime is 6427846651. The next prime is 6427846697. The reversal of 6427846656 is 6566487246.

6427846656 is a `hidden beast` number, since 64 + 2 + 78 + 466 + 56 = 666.

It is not an unprimeable number, because it can be changed into a prime (6427846651) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9934525 + ... + 9935171.

It is an arithmetic number, because the mean of its divisors is an integer number (54619110).

Almost surely, 2^6427846656 is an apocalyptic number.

6427846656 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6427846656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11797727760).

6427846656 is an abundant number, since it is smaller than the sum of its proper divisors (17167608864).

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

6427846656 is a wasteful number, since it uses less digits than its factorization.

6427846656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 670 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The square root of 6427846656 is about 80173.8526952522. The cubic root of 6427846656 is about 1859.3244025724.

The spelling of 6427846656 in words is "six billion, four hundred twenty-seven million, eight hundred forty-six thousand, six hundred fifty-six".