6798610080 has 288 divisors, whose sum is σ = 24726933504. Its totient is φ = 1695080448.

The previous prime is 6798610051. The next prime is 6798610123. The reversal of 6798610080 is 800168976.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 4087329 + ... + 4088991.

It is an arithmetic number, because the mean of its divisors is an integer number (85857408).

Almost surely, 2^6798610080 is an apocalyptic number.

6798610080 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 6798610080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12363466752).

6798610080 is an abundant number, since it is smaller than the sum of its proper divisors (17928323424).

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

6798610080 is a wasteful number, since it uses less digits than its factorization.

6798610080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 6798610080 is about 82453.6844537586. The cubic root of 6798610080 is about 1894.4073844910.

The spelling of 6798610080 in words is "six billion, seven hundred ninety-eight million, six hundred ten thousand, eighty".