6984345984 has 256 divisors, whose sum is σ = 23265792000. Its totient is φ = 1803479040.

The previous prime is 6984345971. The next prime is 6984346009. The reversal of 6984345984 is 4895434896.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5883439 + ... + 5884625.

It is an arithmetic number, because the mean of its divisors is an integer number (90882000).

Almost surely, 2^6984345984 is an apocalyptic number.

6984345984 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 6984345984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11632896000).

6984345984 is an abundant number, since it is smaller than the sum of its proper divisors (16281446016).

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

6984345984 is a wasteful number, since it uses less digits than its factorization.

6984345984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1409 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 60.

The square root of 6984345984 is about 83572.3996544314. The cubic root of 6984345984 is about 1911.5041634848.

The spelling of 6984345984 in words is "six billion, nine hundred eighty-four million, three hundred forty-five thousand, nine hundred eighty-four".