6084225540 has 216 divisors, whose sum is σ = 20201552280. Its totient is φ = 1477048320.

The previous prime is 6084225517. The next prime is 6084225551. The reversal of 6084225540 is 455224806.

It is a happy number.

6084225540 is a `hidden beast` number, since 6 + 0 + 84 + 22 + 554 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 465523776 + 5618701764 = 21576^2 + 74958^2 .

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 = 6084225495 and 6084225504.

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, 2939626 + ... + 2941694.

It is an arithmetic number, because the mean of its divisors is an integer number (93525705).

Almost surely, 2^6084225540 is an apocalyptic number.

6084225540 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 6084225540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10100776140).

6084225540 is an abundant number, since it is smaller than the sum of its proper divisors (14117326740).

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

6084225540 is a wasteful number, since it uses less digits than its factorization.

6084225540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 6084225540 is about 78001.4457558320. The cubic root of 6084225540 is about 1825.5837792137.

The spelling of 6084225540 in words is "six billion, eighty-four million, two hundred twenty-five thousand, five hundred forty".