6403516120 has 64 divisors (see below), whose sum is σ = 14836530240. Its totient is φ = 2485862400.

The previous prime is 6403516117. The next prime is 6403516219. The reversal of 6403516120 is 216153046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306405 + ... + 326635.

It is an arithmetic number, because the mean of its divisors is an integer number (231820785).

Almost surely, 2^6403516120 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 6403516120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7418265120).

6403516120 is an abundant number, since it is smaller than the sum of its proper divisors (8433014120).

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

6403516120 is a wasteful number, since it uses less digits than its factorization.

6403516120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20476 (or 20472 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 6403516120 is about 80021.9727324939. The cubic root of 6403516120 is about 1856.9754791841.

Adding to 6403516120 its reverse (216153046), we get a palindrome (6619669166).

The spelling of 6403516120 in words is "six billion, four hundred three million, five hundred sixteen thousand, one hundred twenty".