6116095440 has 960 divisors, whose sum is σ = 28273190400. Its totient is φ = 1150599168.

The previous prime is 6116095429. The next prime is 6116095463. The reversal of 6116095440 is 445906116.

6116095440 is a `hidden beast` number, since 6 + 1 + 1 + 609 + 5 + 4 + 40 = 666.

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 = 6116095395 and 6116095404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 321899751 + ... + 321899769.

It is an arithmetic number, because the mean of its divisors is an integer number (29451240).

Almost surely, 2^6116095440 is an apocalyptic number.

6116095440 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 6116095440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14136595200).

6116095440 is an abundant number, since it is smaller than the sum of its proper divisors (22157094960).

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

6116095440 is a wasteful number, since it uses less digits than its factorization.

6116095440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 6116095440 is about 78205.4693739511. The cubic root of 6116095440 is about 1828.7657717317.

The spelling of 6116095440 in words is "six billion, one hundred sixteen million, ninety-five thousand, four hundred forty".