6109662240 has 288 divisors, whose sum is σ = 22880999232. Its totient is φ = 1472256000.

The previous prime is 6109662239. The next prime is 6109662241. The reversal of 6109662240 is 422669016.

It is an interprime number because it is at equal distance from previous prime (6109662239) and next prime (6109662241).

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 6109662195 and 6109662204.

It is not an unprimeable number, because it can be changed into a prime (6109662241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2865975 + ... + 2868105.

It is an arithmetic number, because the mean of its divisors is an integer number (79447914).

Almost surely, 2^6109662240 is an apocalyptic number.

6109662240 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 6109662240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11440499616).

6109662240 is an abundant number, since it is smaller than the sum of its proper divisors (16771336992).

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

6109662240 is a wasteful number, since it uses less digits than its factorization.

6109662240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6109662240 is about 78164.3284369539. The cubic root of 6109662240 is about 1828.1243525222.

The spelling of 6109662240 in words is "six billion, one hundred nine million, six hundred sixty-two thousand, two hundred forty".