6441873120 has 288 divisors, whose sum is σ = 23289057792. Its totient is φ = 1618062336.

The previous prime is 6441873091. The next prime is 6441873127. The reversal of 6441873120 is 213781446.

6441873120 is a `hidden beast` number, since 644 + 1 + 8 + 7 + 3 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6441873127) 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, 2217589 + ... + 2220491.

It is an arithmetic number, because the mean of its divisors is an integer number (80864784).

Almost surely, 2^6441873120 is an apocalyptic number.

6441873120 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 6441873120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11644528896).

6441873120 is an abundant number, since it is smaller than the sum of its proper divisors (16847184672).

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

6441873120 is a wasteful number, since it uses less digits than its factorization.

6441873120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014 (or 3003 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6441873120 is about 80261.2803286865. The cubic root of 6441873120 is about 1860.6758556725.

The spelling of 6441873120 in words is "six billion, four hundred forty-one million, eight hundred seventy-three thousand, one hundred twenty".