6918413328 has 120 divisors (see below), whose sum is σ = 19960328856. Its totient is φ = 2235340800.

The previous prime is 6918413321. The next prime is 6918413371. The reversal of 6918413328 is 8233148196.

It is a Cunningham number, because it is equal to 83177²-1.

It can be written as a sum of positive squares in 4 ways, for example, as 2505202704 + 4413210624 = 50052^2 + 66432^2 .

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 (6918413321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1494858 + ... + 1499478.

Almost surely, 2^6918413328 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 6918413328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9980164428).

6918413328 is an abundant number, since it is smaller than the sum of its proper divisors (13041915528).

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

6918413328 is a wasteful number, since it uses less digits than its factorization.

6918413328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4953 (or 4944 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 6918413328 is about 83176.9999939887. Note that the first 5 decimals coincide. The cubic root of 6918413328 is about 1905.4702309125.

The spelling of 6918413328 in words is "six billion, nine hundred eighteen million, four hundred thirteen thousand, three hundred twenty-eight".