6980797824 has 576 divisors, whose sum is σ = 25421598720. Its totient is φ = 1660538880.

The previous prime is 6980797793. The next prime is 6980797829. The reversal of 6980797824 is 4287970896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6980797829) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54966849 + ... + 54966975.

It is an arithmetic number, because the mean of its divisors is an integer number (44134720).

Almost surely, 2^6980797824 is an apocalyptic number.

6980797824 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 6980797824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12710799360).

6980797824 is an abundant number, since it is smaller than the sum of its proper divisors (18440800896).

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

6980797824 is a wasteful number, since it uses less digits than its factorization.

6980797824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The square root of 6980797824 is about 83551.1688966707. The cubic root of 6980797824 is about 1911.1804170447.

The spelling of 6980797824 in words is "six billion, nine hundred eighty million, seven hundred ninety-seven thousand, eight hundred twenty-four".