6880217760 has 480 divisors, whose sum is σ = 26481570192. Its totient is φ = 1672151040.

The previous prime is 6880217753. The next prime is 6880217777. The reversal of 6880217760 is 677120886.

It can be written as a sum of positive squares in 8 ways, for example, as 125350416 + 6754867344 = 11196^2 + 82188^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16342350 + ... + 16342770.

Almost surely, 2^6880217760 is an apocalyptic number.

6880217760 is a gapful number since it is divisible by the number (60) 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 6880217760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13240785096).

6880217760 is an abundant number, since it is smaller than the sum of its proper divisors (19601352432).

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

6880217760 is a wasteful number, since it uses less digits than its factorization.

6880217760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 6880217760 is about 82947.0780678862. The cubic root of 6880217760 is about 1901.9571485733.

The spelling of 6880217760 in words is "six billion, eight hundred eighty million, two hundred seventeen thousand, seven hundred sixty".