6444424427760 has 960 divisors, whose sum is σ = 25896125399040. Its totient is φ = 1418819328000.

The previous prime is 6444424427759. The next prime is 6444424427783. The reversal of 6444424427760 is 677244244446.

6444424427760 is a `hidden beast` number, since 64 + 44 + 42 + 442 + 7 + 7 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6444424427697 and 6444424427706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 499135705 + ... + 499148615.

It is an arithmetic number, because the mean of its divisors is an integer number (26975130624).

Almost surely, 2^{6444424427760} is an apocalyptic number.

6444424427760 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 6444424427760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12948062699520).

6444424427760 is an abundant number, since it is smaller than the sum of its proper divisors (19451700971280).

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

6444424427760 is a wasteful number, since it uses less digits than its factorization.

6444424427760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13098 (or 13089 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 54.

The spelling of 6444424427760 in words is "six trillion, four hundred forty-four billion, four hundred twenty-four million, four hundred twenty-seven thousand, seven hundred sixty".