6887547072 has 224 divisors, whose sum is σ = 23350118400. Its totient is φ = 1950068736.

The previous prime is 6887547071. The next prime is 6887547119. The reversal of 6887547072 is 2707457886.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6887547071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1364329 + ... + 1369367.

It is an arithmetic number, because the mean of its divisors is an integer number (104241600).

Almost surely, 2^6887547072 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 6887547072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11675059200).

6887547072 is an abundant number, since it is smaller than the sum of its proper divisors (16462571328).

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

6887547072 is a wasteful number, since it uses less digits than its factorization.

6887547072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5180 (or 5164 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The square root of 6887547072 is about 82991.2469601463. The cubic root of 6887547072 is about 1902.6322769284.

The spelling of 6887547072 in words is "six billion, eight hundred eighty-seven million, five hundred forty-seven thousand, seventy-two".