6413123808 has 768 divisors, whose sum is σ = 24995174400. Its totient is φ = 1572120576.

The previous prime is 6413123807. The next prime is 6413123867. The reversal of 6413123808 is 8083213146.

6413123808 is a `hidden beast` number, since 6 + 413 + 1 + 238 + 0 + 8 = 666.

It is a super-2 number, since 2×6413123808² = 82256313953472841728, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6413123807) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 121002310 + ... + 121002362.

It is an arithmetic number, because the mean of its divisors is an integer number (32545800).

Almost surely, 2^6413123808 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 6413123808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12497587200).

6413123808 is an abundant number, since it is smaller than the sum of its proper divisors (18582050592).

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

6413123808 is a wasteful number, since it uses less digits than its factorization.

6413123808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 97 counting only the distinct ones).

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

The square root of 6413123808 is about 80081.9817936594. The cubic root of 6413123808 is about 1857.9037361636.

The spelling of 6413123808 in words is "six billion, four hundred thirteen million, one hundred twenty-three thousand, eight hundred eight".