6736419328 has 60 divisors (see below), whose sum is σ = 13577986422. Its totient is φ = 3338854400.

The previous prime is 6736419307. The next prime is 6736419329. The reversal of 6736419328 is 8239146376.

It can be written as a sum of positive squares in 3 ways, for example, as 6666395904 + 70023424 = 81648^2 + 8368^2 .

It is not an unprimeable number, because it can be changed into a prime (6736419329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9609378 + ... + 9610078.

Almost surely, 2^6736419328 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 6736419328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6788993211).

6736419328 is an abundant number, since it is smaller than the sum of its proper divisors (6841567094).

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

6736419328 is an frugal number, since it uses more digits than its factorization.

6736419328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 840 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 49.

The square root of 6736419328 is about 82075.6926745063. The cubic root of 6736419328 is about 1888.6132739102.

The spelling of 6736419328 in words is "six billion, seven hundred thirty-six million, four hundred nineteen thousand, three hundred twenty-eight".