6981889824 has 192 divisors, whose sum is σ = 25063476480. Its totient is φ = 1841356800.

The previous prime is 6981889819. The next prime is 6981889861. The reversal of 6981889824 is 4289881896.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34224 + ... + 123024.

It is an arithmetic number, because the mean of its divisors is an integer number (130538940).

Almost surely, 2^6981889824 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 6981889824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12531738240).

6981889824 is an abundant number, since it is smaller than the sum of its proper divisors (18081586656).

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

6981889824 is a wasteful number, since it uses less digits than its factorization.

6981889824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88840 (or 88826 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 63.

The square root of 6981889824 is about 83557.7035586785. The cubic root of 6981889824 is about 1911.2800666003.

The spelling of 6981889824 in words is "six billion, nine hundred eighty-one million, eight hundred eighty-nine thousand, eight hundred twenty-four".