6438351120 has 80 divisors (see below), whose sum is σ = 19966668480. Its totient is φ = 1716224512.

The previous prime is 6438351109. The next prime is 6438351133. The reversal of 6438351120 is 211538346.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1081111 + ... + 1087049.

It is an arithmetic number, because the mean of its divisors is an integer number (249583356).

Almost surely, 2^6438351120 is an apocalyptic number.

6438351120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6438351120 is an abundant number, since it is smaller than the sum of its proper divisors (13528317360).

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

6438351120 is a wasteful number, since it uses less digits than its factorization.

6438351120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10472 (or 10466 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 6438351120 is about 80239.3364877851. The cubic root of 6438351120 is about 1860.3366947426.

Adding to 6438351120 its reverse (211538346), we get a palindrome (6649889466).

The spelling of 6438351120 in words is "six billion, four hundred thirty-eight million, three hundred fifty-one thousand, one hundred twenty".