6843921984 has 147 divisors (see below), whose sum is σ = 20415350203. Its totient is φ = 2275350912.

The previous prime is 6843921947. The next prime is 6843921991. The reversal of 6843921984 is 4891293486.

The square root of 6843921984 is 82728.

It is a perfect power (a square), and thus also a powerful number.

6843921984 is a `hidden beast` number, since 68 + 4 + 392 + 198 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6843921984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 17869057 + ... + 17869439.

Almost surely, 2^6843921984 is an apocalyptic number.

6843921984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6843921984 is the 82728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6843921984

6843921984 is an abundant number, since it is smaller than the sum of its proper divisors (13571428219).

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

6843921984 is an frugal number, since it uses more digits than its factorization.

6843921984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 388 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The cubic root of 6843921984 is about 1898.6067333250.

The spelling of 6843921984 in words is "six billion, eight hundred forty-three million, nine hundred twenty-one thousand, nine hundred eighty-four".