6110959680 has 448 divisors, whose sum is σ = 24969216000. Its totient is φ = 1378031616.

The previous prime is 6110959667. The next prime is 6110959681. The reversal of 6110959680 is 869590116.

It is a tau number, because it is divible by the number of its divisors (448).

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 (6110959681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4777281 + ... + 4778559.

Almost surely, 2^6110959680 is an apocalyptic number.

6110959680 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 6110959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12484608000).

6110959680 is an abundant number, since it is smaller than the sum of its proper divisors (18858256320).

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

6110959680 is a wasteful number, since it uses less digits than its factorization.

6110959680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 6110959680 is about 78172.6274344159. The cubic root of 6110959680 is about 1828.2537494070.

The spelling of 6110959680 in words is "six billion, one hundred ten million, nine hundred fifty-nine thousand, six hundred eighty".