6984224896 has 128 divisors (see below), whose sum is σ = 16673817600. Its totient is φ = 2876544000.

The previous prime is 6984224881. The next prime is 6984224939.

6984224896 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 6984224896.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 609621 + ... + 620971.

It is an arithmetic number, because the mean of its divisors is an integer number (130264200).

Almost surely, 2^6984224896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6984224896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8336908800).

6984224896 is an abundant number, since it is smaller than the sum of its proper divisors (9689592704).

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

6984224896 is a wasteful number, since it uses less digits than its factorization.

6984224896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11418 (or 11406 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 58.

The square root of 6984224896 is about 83571.6752015897. The cubic root of 6984224896 is about 1911.4931168025.

The spelling of 6984224896 in words is "six billion, nine hundred eighty-four million, two hundred twenty-four thousand, eight hundred ninety-six".