6446057244000 has 768 divisors, whose sum is σ = 24386258856960. Its totient is φ = 1473669120000.

The previous prime is 6446057243999. The next prime is 6446057244047. The reversal of 6446057244000 is 4427506446.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 164584420 + ... + 164623580.

It is an arithmetic number, because the mean of its divisors is an integer number (31752941220).

Almost surely, 2^{6446057244000} is an apocalyptic number.

6446057244000 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 6446057244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12193129428480).

6446057244000 is an abundant number, since it is smaller than the sum of its proper divisors (17940201612960).

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

6446057244000 is a wasteful number, since it uses less digits than its factorization.

6446057244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39272 (or 39254 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 6446057244000 in words is "six trillion, four hundred forty-six billion, fifty-seven million, two hundred forty-four thousand".