6687331872 has 96 divisors (see below), whose sum is σ = 19225200960. Its totient is φ = 2022743040.

The previous prime is 6687331853. The next prime is 6687331877. The reversal of 6687331872 is 2781337866.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6687331877) 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 15 ways as a sum of consecutive naturals, for example, 28222 + ... + 119042.

It is an arithmetic number, because the mean of its divisors is an integer number (200262510).

Almost surely, 2^6687331872 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 6687331872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9612600480).

6687331872 is an abundant number, since it is smaller than the sum of its proper divisors (12537869088).

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

6687331872 is a wasteful number, since it uses less digits than its factorization.

6687331872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90906 (or 90898 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The square root of 6687331872 is about 81776.1081979327. The cubic root of 6687331872 is about 1884.0147221410.

The spelling of 6687331872 in words is "six billion, six hundred eighty-seven million, three hundred thirty-one thousand, eight hundred seventy-two".