6438430516 has 96 divisors (see below), whose sum is σ = 13829760000. Its totient is φ = 2561580288.

The previous prime is 6438430511. The next prime is 6438430529. The reversal of 6438430516 is 6150348346.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6438430511) 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, 6137160 + ... + 6138208.

It is an arithmetic number, because the mean of its divisors is an integer number (144060000).

Almost surely, 2^6438430516 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 6438430516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6914880000).

6438430516 is an abundant number, since it is smaller than the sum of its proper divisors (7391329484).

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

6438430516 is a wasteful number, since it uses less digits than its factorization.

6438430516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 6438430516 is about 80239.8312311286. The cubic root of 6438430516 is about 1860.3443417670.

The spelling of 6438430516 in words is "six billion, four hundred thirty-eight million, four hundred thirty thousand, five hundred sixteen".