6313320000 has 840 divisors, whose sum is σ = 25994928960. Its totient is φ = 1451520000.

The previous prime is 6313319993. The next prime is 6313320029. The reversal of 6313320000 is 233136.

It is a happy number.

6313320000 is a `hidden beast` number, since 631 + 3 + 32 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 88919965 + ... + 88920035.

It is an arithmetic number, because the mean of its divisors is an integer number (30946344).

Almost surely, 2^6313320000 is an apocalyptic number.

6313320000 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 6313320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12997464480).

6313320000 is an abundant number, since it is smaller than the sum of its proper divisors (19681608960).

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

6313320000 is a wasteful number, since it uses less digits than its factorization.

6313320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 6313320000 is about 79456.4031403385. The cubic root of 6313320000 is about 1848.2154693384.

Adding to 6313320000 its reverse (233136), we get a palindrome (6313553136).

The spelling of 6313320000 in words is "six billion, three hundred thirteen million, three hundred twenty thousand".