8336464128 has 216 divisors, whose sum is σ = 24678638712. Its totient is φ = 2705424384.

The previous prime is 8336464127. The next prime is 8336464139. The reversal of 8336464128 is 8214646338.

It can be written as a sum of positive squares in 4 ways, for example, as 2843875584 + 5492588544 = 53328^2 + 74112^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8336464127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28451950 + ... + 28452242.

It is an arithmetic number, because the mean of its divisors is an integer number (114252957).

Almost surely, 2^8336464128 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 8336464128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12339319356).

8336464128 is an abundant number, since it is smaller than the sum of its proper divisors (16342174584).

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

8336464128 is a wasteful number, since it uses less digits than its factorization.

8336464128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 584 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 8336464128 is about 91304.2393758362. The cubic root of 8336464128 is about 2027.6545284096.

The spelling of 8336464128 in words is "eight billion, three hundred thirty-six million, four hundred sixty-four thousand, one hundred twenty-eight".