6884590416 has 160 divisors (see below), whose sum is σ = 20535828480. Its totient is φ = 1965542400.

The previous prime is 6884590403. The next prime is 6884590439. The reversal of 6884590416 is 6140954886.

It is a super-3 number, since 3×6884590416³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

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, 1914316 + ... + 1917908.

It is an arithmetic number, because the mean of its divisors is an integer number (128348928).

Almost surely, 2^6884590416 is an apocalyptic number.

6884590416 is a gapful number since it is divisible by the number (66) 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 6884590416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10267914240).

6884590416 is an abundant number, since it is smaller than the sum of its proper divisors (13651238064).

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

6884590416 is a wasteful number, since it uses less digits than its factorization.

6884590416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3825 (or 3819 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 6884590416 is about 82973.4319887999. The cubic root of 6884590416 is about 1902.3599867491.

The spelling of 6884590416 in words is "six billion, eight hundred eighty-four million, five hundred ninety thousand, four hundred sixteen".