6108961680 has 420 divisors, whose sum is σ = 22206240540. Its totient is φ = 1562042880.

The previous prime is 6108961613. The next prime is 6108961687. The reversal of 6108961680 is 861698016.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3239431056 + 2869530624 = 56916^2 + 53568^2 .

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

It is not an unprimeable number, because it can be changed into a prime (6108961687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 56045466 + ... + 56045574.

Almost surely, 2^6108961680 is an apocalyptic number.

6108961680 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 6108961680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11103120270).

6108961680 is an abundant number, since it is smaller than the sum of its proper divisors (16097278860).

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

6108961680 is a wasteful number, since it uses less digits than its factorization.

6108961680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 6108961680 is about 78159.8469804029. The cubic root of 6108961680 is about 1828.0544763327.

The spelling of 6108961680 in words is "six billion, one hundred eight million, nine hundred sixty-one thousand, six hundred eighty".