6313412160 has 672 divisors, whose sum is σ = 25176138624. Its totient is φ = 1505433600.

The previous prime is 6313412159. The next prime is 6313412173. The reversal of 6313412160 is 612143136.

6313412160 is a `hidden beast` number, since 631 + 3 + 4 + 1 + 21 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 103498530 + ... + 103498590.

It is an arithmetic number, because the mean of its divisors is an integer number (37464492).

Almost surely, 2^6313412160 is an apocalyptic number.

6313412160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6313412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12588069312).

6313412160 is an abundant number, since it is smaller than the sum of its proper divisors (18862726464).

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

6313412160 is an equidigital number, since it uses as much as digits as its factorization.

6313412160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6313412160 is about 79456.9830788962. The cubic root of 6313412160 is about 1848.2244625311.

Adding to 6313412160 its reverse (612143136), we get a palindrome (6925555296).

The spelling of 6313412160 in words is "six billion, three hundred thirteen million, four hundred twelve thousand, one hundred sixty".