6441087744 has 432 divisors, whose sum is σ = 23618043904. Its totient is φ = 1642291200.

The previous prime is 6441087727. The next prime is 6441087749. The reversal of 6441087744 is 4477801446.

It is a happy number.

It is a super-2 number, since 2×6441087744² = 82975222651814019072, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6441087744.

It is not an unprimeable number, because it can be changed into a prime (6441087749) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6499089 + ... + 6500079.

Almost surely, 2^6441087744 is an apocalyptic number.

6441087744 is a gapful number since it is divisible by the number (64) 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 6441087744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11809021952).

6441087744 is an abundant number, since it is smaller than the sum of its proper divisors (17176956160).

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

6441087744 is a wasteful number, since it uses less digits than its factorization.

6441087744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 6441087744 is about 80256.3875588728. The cubic root of 6441087744 is about 1860.6002363858.

The spelling of 6441087744 in words is "six billion, four hundred forty-one million, eighty-seven thousand, seven hundred forty-four".