6413316000 has 576 divisors, whose sum is σ = 26351619840. Its totient is φ = 1351526400.

The previous prime is 6413315963. The next prime is 6413316001. The reversal of 6413316000 is 6133146.

It is a super-2 number, since 2×6413316000² = 82261244231712000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (6413316001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7643581 + ... + 7644419.

It is an arithmetic number, because the mean of its divisors is an integer number (45749340).

Almost surely, 2^6413316000 is an apocalyptic number.

6413316000 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 6413316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13175809920).

6413316000 is an abundant number, since it is smaller than the sum of its proper divisors (19938303840).

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

6413316000 is a wasteful number, since it uses less digits than its factorization.

6413316000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 6413316000 is about 80083.1817549727. The cubic root of 6413316000 is about 1857.9222955364.

Adding to 6413316000 its reverse (6133146), we get a palindrome (6419449146).

The spelling of 6413316000 in words is "six billion, four hundred thirteen million, three hundred sixteen thousand".