6980880896 has 160 divisors (see below), whose sum is σ = 16219051200. Its totient is φ = 2968289280.

The previous prime is 6980880887. The next prime is 6980880913.

It is a happy number.

6980880896 is nontrivially palindromic in base 10.

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 15 ways as a sum of consecutive naturals, for example, 9523346 + ... + 9524078.

It is an arithmetic number, because the mean of its divisors is an integer number (101369070).

Almost surely, 2^6980880896 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 6980880896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8109525600).

6980880896 is an abundant number, since it is smaller than the sum of its proper divisors (9238170304).

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

6980880896 is a wasteful number, since it uses less digits than its factorization.

6980880896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 62.

The square root of 6980880896 is about 83551.6660276742. Note that the first 3 decimals coincide. The cubic root of 6980880896 is about 1911.1879980765.

The spelling of 6980880896 in words is "six billion, nine hundred eighty million, eight hundred eighty thousand, eight hundred ninety-six".