6482116368 has 560 divisors, whose sum is σ = 24044461056. Its totient is φ = 1646023680.

The previous prime is 6482116367. The next prime is 6482116411. The reversal of 6482116368 is 8636112846.

6482116368 is a `hidden beast` number, since 6 + 4 + 8 + 2 + 1 + 1 + 636 + 8 = 666.

It is a super-2 number, since 2×6482116368² = 84035665216587022848, which contains 22 as substring.

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 (6482116363) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 32904046 + ... + 32904242.

Almost surely, 2^6482116368 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 6482116368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12022230528).

6482116368 is an abundant number, since it is smaller than the sum of its proper divisors (17562344688).

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

6482116368 is a wasteful number, since it uses less digits than its factorization.

6482116368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 253 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 6482116368 is about 80511.5915132722. The cubic root of 6482116368 is about 1864.5424459076.

The spelling of 6482116368 in words is "six billion, four hundred eighty-two million, one hundred sixteen thousand, three hundred sixty-eight".