6413118427008 has 768 divisors, whose sum is σ = 20235175833600. Its totient is φ = 2019122380800.

The previous prime is 6413118426973. The next prime is 6413118427091. The reversal of 6413118427008 is 8007248113146.

6413118427008 is a `hidden beast` number, since 64 + 1 + 311 + 8 + 4 + 270 + 0 + 8 = 666.

It is a super-2 number, since 2×6413118427008² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7735968738 + ... + 7735969566.

It is an arithmetic number, because the mean of its divisors is an integer number (26347885200).

Almost surely, 2^{6413118427008} 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 6413118427008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10117587916800).

6413118427008 is an abundant number, since it is smaller than the sum of its proper divisors (13822057406592).

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

6413118427008 is a wasteful number, since it uses less digits than its factorization.

6413118427008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 6413118427008 in words is "six trillion, four hundred thirteen billion, one hundred eighteen million, four hundred twenty-seven thousand, eight".