6113802240 has 864 divisors, whose sum is σ = 27080857440. Its totient is φ = 1289945088.

The previous prime is 6113802239. The next prime is 6113802251. The reversal of 6113802240 is 422083116.

6113802240 is a `hidden beast` number, since 61 + 1 + 380 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 470292474 + ... + 470292486.

It is an arithmetic number, because the mean of its divisors is an integer number (31343585).

Almost surely, 2^6113802240 is an apocalyptic number.

6113802240 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 6113802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13540428720).

6113802240 is an abundant number, since it is smaller than the sum of its proper divisors (20967055200).

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

6113802240 is an frugal number, since it uses more digits than its factorization.

6113802240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6113802240 is about 78190.8066207275. The cubic root of 6113802240 is about 1828.5371809062.

Adding to 6113802240 its reverse (422083116), we get a palindrome (6535885356).

The spelling of 6113802240 in words is "six billion, one hundred thirteen million, eight hundred two thousand, two hundred forty".