6413888000 has 240 divisors, whose sum is σ = 17347534776. Its totient is φ = 2364211200.

The previous prime is 6413887999. The next prime is 6413888009. The reversal of 6413888000 is 8883146.

It can be written as a sum of positive squares in 12 ways, for example, as 1726568704 + 4687319296 = 41552^2 + 68464^2 .

It is a super-2 number, since 2×6413888000² = 82275918553088000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6413888009) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10815704 + ... + 10816296.

Almost surely, 2^6413888000 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 6413888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8673767388).

6413888000 is an abundant number, since it is smaller than the sum of its proper divisors (10933646776).

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

6413888000 is an equidigital number, since it uses as much as digits as its factorization.

6413888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 6413888000 is about 80086.7529620224. The cubic root of 6413888000 is about 1857.9775295714.

The spelling of 6413888000 in words is "six billion, four hundred thirteen million, eight hundred eighty-eight thousand".