6371446884480 has 1280 divisors, whose sum is σ = 24485643325440. Its totient is φ = 1574957260800.

The previous prime is 6371446884479. The next prime is 6371446884599. The reversal of 6371446884480 is 844886441736.

6371446884480 is a `hidden beast` number, since 6 + 3 + 7 + 14 + 4 + 68 + 84 + 480 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7741733349 + ... + 7741734171.

It is an arithmetic number, because the mean of its divisors is an integer number (19129408848).

Almost surely, 2^{6371446884480} is an apocalyptic number.

6371446884480 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 6371446884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12242821662720).

6371446884480 is an abundant number, since it is smaller than the sum of its proper divisors (18114196440960).

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

6371446884480 is a wasteful number, since it uses less digits than its factorization.

6371446884480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 6371446884480 in words is "six trillion, three hundred seventy-one billion, four hundred forty-six million, eight hundred eighty-four thousand, four hundred eighty".