6886737984 has 224 divisors, whose sum is σ = 21334634496. Its totient is φ = 1919969280.

The previous prime is 6886737973. The next prime is 6886738037. The reversal of 6886737984 is 4897376886.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13691077 + ... + 13691579.

It is an arithmetic number, because the mean of its divisors is an integer number (95243904).

Almost surely, 2^6886737984 is an apocalyptic number.

6886737984 is a gapful number since it is divisible by the number (64) 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 6886737984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10667317248).

6886737984 is an abundant number, since it is smaller than the sum of its proper divisors (14447896512).

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

6886737984 is a wasteful number, since it uses less digits than its factorization.

6886737984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 743 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 66.

The square root of 6886737984 is about 82986.3722788266. The cubic root of 6886737984 is about 1902.5577725507.

The spelling of 6886737984 in words is "six billion, eight hundred eighty-six million, seven hundred thirty-seven thousand, nine hundred eighty-four".