6428163456 has 256 divisors, whose sum is σ = 22290508800. Its totient is φ = 1797949440.

The previous prime is 6428163451. The next prime is 6428163473. The reversal of 6428163456 is 6543618246.

6428163456 is a `hidden beast` number, since 6 + 4 + 2 + 8 + 1 + 634 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6428163451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487705 + ... + 500711.

It is an arithmetic number, because the mean of its divisors is an integer number (87072300).

Almost surely, 2^6428163456 is an apocalyptic number.

6428163456 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 6428163456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11145254400).

6428163456 is an abundant number, since it is smaller than the sum of its proper divisors (15862345344).

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

6428163456 is a wasteful number, since it uses less digits than its factorization.

6428163456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13054 (or 13036 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 6428163456 is about 80175.8283773857. The cubic root of 6428163456 is about 1859.3549480166.

The spelling of 6428163456 in words is "six billion, four hundred twenty-eight million, one hundred sixty-three thousand, four hundred fifty-six".