6861784384 has 168 divisors, whose sum is σ = 17522723400. Its totient is φ = 2640605184.

The previous prime is 6861784379. The next prime is 6861784399. The reversal of 6861784384 is 4834871686.

It can be written as a sum of positive squares in 4 ways, for example, as 1859334400 + 5002449984 = 43120^2 + 70728^2 .

Its product of digits (6193152) is a multiple of the sum of its prime divisors (4608).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1506142 + ... + 1510690.

It is an arithmetic number, because the mean of its divisors is an integer number (104301925).

Almost surely, 2^6861784384 is an apocalyptic number.

6861784384 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 6861784384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8761361700).

6861784384 is an abundant number, since it is smaller than the sum of its proper divisors (10660939016).

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

6861784384 is a wasteful number, since it uses less digits than its factorization.

6861784384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4625 (or 4608 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 55.

The square root of 6861784384 is about 82835.8882610671. Note that the first 3 decimals coincide. The cubic root of 6861784384 is about 1900.2570643874.

The spelling of 6861784384 in words is "six billion, eight hundred sixty-one million, seven hundred eighty-four thousand, three hundred eighty-four".