6441088680 has 512 divisors, whose sum is σ = 24269414400. Its totient is φ = 1509000192.

The previous prime is 6441088679. The next prime is 6441088681. The reversal of 6441088680 is 868801446.

It is an interprime number because it is at equal distance from previous prime (6441088679) and next prime (6441088681).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6441088681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28374727 + ... + 28374953.

It is an arithmetic number, because the mean of its divisors is an integer number (47401200).

Almost surely, 2^6441088680 is an apocalyptic number.

6441088680 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 6441088680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12134707200).

6441088680 is an abundant number, since it is smaller than the sum of its proper divisors (17828325720).

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

6441088680 is a wasteful number, since it uses less digits than its factorization.

6441088680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 6441088680 is about 80256.3933901842. The cubic root of 6441088680 is about 1860.6003265114.

The spelling of 6441088680 in words is "six billion, four hundred forty-one million, eighty-eight thousand, six hundred eighty".