6441088000 has 88 divisors (see below), whose sum is σ = 16069424904. Its totient is φ = 2576384000.

The previous prime is 6441087977. The next prime is 6441088033. The reversal of 6441088000 is 8801446.

It can be written as a sum of positive squares in 4 ways, for example, as 76877824 + 6364210176 = 8768^2 + 79776^2 .

It is a super-2 number, since 2×6441088000² = 82975229247488000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102840 + ... + 153160.

Almost surely, 2^6441088000 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 6441088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8034712452).

6441088000 is an abundant number, since it is smaller than the sum of its proper divisors (9628336904).

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

6441088000 is an equidigital number, since it uses as much as digits as its factorization.

6441088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50356 (or 50328 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 6441088000 is about 80256.3891537615. The cubic root of 6441088000 is about 1860.6002610355.

Adding to 6441088000 its reverse (8801446), we get a palindrome (6449889446).

The spelling of 6441088000 in words is "six billion, four hundred forty-one million, eighty-eight thousand".