6880505472 has 320 divisors, whose sum is σ = 21949012800. Its totient is φ = 2131992576.

The previous prime is 6880505447. The next prime is 6880505497. The reversal of 6880505472 is 2745050886.

6880505472 is a `hidden beast` number, since 68 + 80 + 505 + 4 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (6880505447) and next prime (6880505497).

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 39 ways as a sum of consecutive naturals, for example, 18154179 + ... + 18154557.

It is an arithmetic number, because the mean of its divisors is an integer number (68590665).

Almost surely, 2^6880505472 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 6880505472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10974506400).

6880505472 is an abundant number, since it is smaller than the sum of its proper divisors (15068507328).

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

6880505472 is a wasteful number, since it uses less digits than its factorization.

6880505472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 6880505472 is about 82948.8123603949. The cubic root of 6880505472 is about 1901.9836597627.

The spelling of 6880505472 in words is "six billion, eight hundred eighty million, five hundred five thousand, four hundred seventy-two".