6413124168 has 96 divisors (see below), whose sum is σ = 19207599840. Its totient is φ = 1916732160.

The previous prime is 6413124167. The next prime is 6413124187. The reversal of 6413124168 is 8614213146.

6413124168 is a `hidden beast` number, since 641 + 3 + 1 + 2 + 4 + 1 + 6 + 8 = 666.

It is a super-2 number, since 2×6413124168² = 82256323188371384448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6413124167) 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, 2355 + ... + 113277.

It is an arithmetic number, because the mean of its divisors is an integer number (200079165).

Almost surely, 2^6413124168 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 6413124168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9603799920).

6413124168 is an abundant number, since it is smaller than the sum of its proper divisors (12794475672).

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

6413124168 is a wasteful number, since it uses less digits than its factorization.

6413124168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111019 (or 111012 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 6413124168 is about 80081.9840413560. The cubic root of 6413124168 is about 1857.9037709280.

The spelling of 6413124168 in words is "six billion, four hundred thirteen million, one hundred twenty-four thousand, one hundred sixty-eight".