6923841984 has 448 divisors, whose sum is σ = 22911206400. Its totient is φ = 2040090624.

The previous prime is 6923841973. The next prime is 6923842019. The reversal of 6923841984 is 4891483296.

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 self number, because there is not a number n which added to its sum of digits gives 6923841984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40022122 + ... + 40022294.

Almost surely, 2^6923841984 is an apocalyptic number.

6923841984 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 6923841984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11455603200).

6923841984 is an abundant number, since it is smaller than the sum of its proper divisors (15987364416).

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

6923841984 is a wasteful number, since it uses less digits than its factorization.

6923841984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 273 counting only the distinct ones).

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

The square root of 6923841984 is about 83209.6267507552. The cubic root of 6923841984 is about 1905.9684876427.

The spelling of 6923841984 in words is "six billion, nine hundred twenty-three million, eight hundred forty-one thousand, nine hundred eighty-four".