6371132856480 has 576 divisors, whose sum is σ = 26688995424000. Its totient is φ = 1379611699200.

The previous prime is 6371132856467. The next prime is 6371132856509. The reversal of 6371132856480 is 846582311736.

6371132856480 is a `hidden beast` number, since 6 + 3 + 71 + 1 + 3 + 2 + 8 + 564 + 8 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 9045030 + ... + 9723930.

It is an arithmetic number, because the mean of its divisors is an integer number (46335061500).

Almost surely, 2^{6371132856480} is an apocalyptic number.

6371132856480 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 6371132856480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13344497712000).

6371132856480 is an abundant number, since it is smaller than the sum of its proper divisors (20317862567520).

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

6371132856480 is a wasteful number, since it uses less digits than its factorization.

6371132856480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678962 (or 678937 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 6371132856480 in words is "six trillion, three hundred seventy-one billion, one hundred thirty-two million, eight hundred fifty-six thousand, four hundred eighty".