6872875447680 has 1536 divisors, whose sum is σ = 29563630387200. Its totient is φ = 1449197568000.

The previous prime is 6872875447609. The next prime is 6872875447729. The reversal of 6872875447680 is 867445782786.

6872875447680 is a `hidden beast` number, since 6 + 8 + 7 + 2 + 8 + 7 + 544 + 76 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6872875447599 and 6872875447608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 839072385 + ... + 839080575.

It is an arithmetic number, because the mean of its divisors is an integer number (19247155200).

Almost surely, 2^{6872875447680} is an apocalyptic number.

6872875447680 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 6872875447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14781815193600).

6872875447680 is an abundant number, since it is smaller than the sum of its proper divisors (22690754939520).

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

6872875447680 is a wasteful number, since it uses less digits than its factorization.

6872875447680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8304 (or 8289 counting only the distinct ones).

The product of its (nonzero) digits is 1011548160, while the sum is 72.

The spelling of 6872875447680 in words is "six trillion, eight hundred seventy-two billion, eight hundred seventy-five million, four hundred forty-seven thousand, six hundred eighty".