6323213160 has 360 divisors, whose sum is σ = 23546151090. Its totient is φ = 1520830080.

The previous prime is 6323213147. The next prime is 6323213179. The reversal of 6323213160 is 613123236.

It is a happy number.

6323213160 is a `hidden beast` number, since 6 + 323 + 21 + 316 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5690891844 + 632321316 = 75438^2 + 25146^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 49789017 + ... + 49789143.

Almost surely, 2^6323213160 is an apocalyptic number.

6323213160 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 6323213160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11773075545).

6323213160 is an abundant number, since it is smaller than the sum of its proper divisors (17222937930).

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

6323213160 is a wasteful number, since it uses less digits than its factorization.

6323213160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 6323213160 is about 79518.6340425941. The cubic root of 6323213160 is about 1849.1803683548.

Adding to 6323213160 its reverse (613123236), we get a palindrome (6936336396).

The spelling of 6323213160 in words is "six billion, three hundred twenty-three million, two hundred thirteen thousand, one hundred sixty".