6437368128 has 112 divisors (see below), whose sum is σ = 17464527936. Its totient is φ = 2091847680.

The previous prime is 6437368109. The next prime is 6437368129. The reversal of 6437368128 is 8218637346.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6437368129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1656748 + ... + 1660628.

Almost surely, 2^6437368128 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 6437368128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8732263968).

6437368128 is an abundant number, since it is smaller than the sum of its proper divisors (11027159808).

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

6437368128 is a wasteful number, since it uses less digits than its factorization.

6437368128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112 (or 4102 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 6437368128 is about 80233.2108792861. The cubic root of 6437368128 is about 1860.2420126763.

The spelling of 6437368128 in words is "six billion, four hundred thirty-seven million, three hundred sixty-eight thousand, one hundred twenty-eight".