6109344000 has 360 divisors, whose sum is σ = 22744409688. Its totient is φ = 1628467200.

The previous prime is 6109343987. The next prime is 6109344001. The reversal of 6109344000 is 4439016.

6109344000 is a `hidden beast` number, since 610 + 9 + 3 + 4 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 862949376 + 5246394624 = 29376^2 + 72432^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×6109344000² = 74648168220672000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (6109344001) 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 39 ways as a sum of consecutive naturals, for example, 2590822 + ... + 2593178.

Almost surely, 2^6109344000 is an apocalyptic number.

6109344000 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 6109344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11372204844).

6109344000 is an abundant number, since it is smaller than the sum of its proper divisors (16635065688).

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

6109344000 is an equidigital number, since it uses as much as digits as its factorization.

6109344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6109344000 is about 78162.2926992293. The cubic root of 6109344000 is about 1828.0926108660.

The spelling of 6109344000 in words is "six billion, one hundred nine million, three hundred forty-four thousand".