6984916224 has 144 divisors (see below), whose sum is σ = 21840417984. Its totient is φ = 1953792000.

The previous prime is 6984916223. The next prime is 6984916273. The reversal of 6984916224 is 4226194896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6984916223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78024 + ... + 141624.

Almost surely, 2^6984916224 is an apocalyptic number.

6984916224 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 6984916224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10920208992).

6984916224 is an abundant number, since it is smaller than the sum of its proper divisors (14855501760).

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

6984916224 is a wasteful number, since it uses less digits than its factorization.

6984916224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63644 (or 63630 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The square root of 6984916224 is about 83575.8112374627. The cubic root of 6984916224 is about 1911.5561839352.

The spelling of 6984916224 in words is "six billion, nine hundred eighty-four million, nine hundred sixteen thousand, two hundred twenty-four".