6413236032 has 336 divisors, whose sum is σ = 20548104192. Its totient is φ = 1758919680.

The previous prime is 6413236021. The next prime is 6413236091. The reversal of 6413236032 is 2306323146.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×6413236032² = 82259192804286210048, which 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 47 ways as a sum of consecutive naturals, for example, 33577057 + ... + 33577247.

It is an arithmetic number, because the mean of its divisors is an integer number (61155072).

Almost surely, 2^6413236032 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 6413236032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10274052096).

6413236032 is an abundant number, since it is smaller than the sum of its proper divisors (14134868160).

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

6413236032 is a wasteful number, since it uses less digits than its factorization.

6413236032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 6413236032 is about 80082.6824725546. The cubic root of 6413236032 is about 1857.9145733249.

Adding to 6413236032 its reverse (2306323146), we get a palindrome (8719559178).

The spelling of 6413236032 in words is "six billion, four hundred thirteen million, two hundred thirty-six thousand, thirty-two".