6872371580928 has 208 divisors, whose sum is σ = 20947215188480. Its totient is φ = 1963028348928.

The previous prime is 6872371580911. The next prime is 6872371580929. The reversal of 6872371580928 is 8290851732786.

It is a super-3 number, since 3×6872371580928³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6872371580929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445469151 + ... + 445484577.

Almost surely, 2^{6872371580928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6872371580928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10473607594240).

6872371580928 is an abundant number, since it is smaller than the sum of its proper divisors (14074843607552).

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

6872371580928 is a wasteful number, since it uses less digits than its factorization.

6872371580928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20640 (or 20618 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 66.

The spelling of 6872371580928 in words is "six trillion, eight hundred seventy-two billion, three hundred seventy-one million, five hundred eighty thousand, nine hundred twenty-eight".