6884491680 has 288 divisors, whose sum is σ = 25757222400. Its totient is φ = 1660631040.

The previous prime is 6884491633. The next prime is 6884491693. The reversal of 6884491680 is 861944886.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3531346 + ... + 3533294.

It is an arithmetic number, because the mean of its divisors is an integer number (89434800).

Almost surely, 2^6884491680 is an apocalyptic number.

6884491680 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 6884491680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12878611200).

6884491680 is an abundant number, since it is smaller than the sum of its proper divisors (18872730720).

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

6884491680 is a wasteful number, since it uses less digits than its factorization.

6884491680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 6884491680 is about 82972.8370010331. The cubic root of 6884491680 is about 1902.3508924141.

The spelling of 6884491680 in words is "six billion, eight hundred eighty-four million, four hundred ninety-one thousand, six hundred eighty".