6348360040 has 128 divisors (see below), whose sum is σ = 16002645120. Its totient is φ = 2246630400.

The previous prime is 6348360023. The next prime is 6348360059. The reversal of 6348360040 is 400638436.

It is a junction number, because it is equal to n+sod(n) for n = 6348359978 and 6348360005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7964922 + ... + 7965718.

It is an arithmetic number, because the mean of its divisors is an integer number (125020665).

Almost surely, 2^6348360040 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 6348360040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8001322560).

6348360040 is an abundant number, since it is smaller than the sum of its proper divisors (9654285080).

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

6348360040 is a wasteful number, since it uses less digits than its factorization.

6348360040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 6348360040 is about 79676.5965638593. The cubic root of 6348360040 is about 1851.6284701780.

Adding to 6348360040 its reverse (400638436), we get a palindrome (6748998476).

The spelling of 6348360040 in words is "six billion, three hundred forty-eight million, three hundred sixty thousand, forty".