6887731968 has 504 divisors, whose sum is σ = 23645629728. Its totient is φ = 1982693376.

The previous prime is 6887731967. The next prime is 6887731973. The reversal of 6887731968 is 8691377886.

It is not an unprimeable number, because it can be changed into a prime (6887731967) 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 55 ways as a sum of consecutive naturals, for example, 41243821 + ... + 41243987.

It is an arithmetic number, because the mean of its divisors is an integer number (46915932).

Almost surely, 2^6887731968 is an apocalyptic number.

6887731968 is a gapful number since it is divisible by the number (68) 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 6887731968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11822814864).

6887731968 is an abundant number, since it is smaller than the sum of its proper divisors (16757897760).

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

6887731968 is a wasteful number, since it uses less digits than its factorization.

6887731968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 202 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The square root of 6887731968 is about 82992.3609014709. The cubic root of 6887731968 is about 1902.6493021454.

The spelling of 6887731968 in words is "six billion, eight hundred eighty-seven million, seven hundred thirty-one thousand, nine hundred sixty-eight".