6104070144 has 192 divisors, whose sum is σ = 18398016000. Its totient is φ = 1999134720.

The previous prime is 6104070143. The next prime is 6104070163. The reversal of 6104070144 is 4410704016.

6104070144 is a `hidden beast` number, since 610 + 4 + 0 + 7 + 0 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6104070143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3261529 + ... + 3263399.

It is an arithmetic number, because the mean of its divisors is an integer number (95823000).

Almost surely, 2^6104070144 is an apocalyptic number.

6104070144 is a gapful number since it is divisible by the number (64) 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 6104070144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9199008000).

6104070144 is an abundant number, since it is smaller than the sum of its proper divisors (12293945856).

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

6104070144 is a wasteful number, since it uses less digits than its factorization.

6104070144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6104070144 is about 78128.5488409967. The cubic root of 6104070144 is about 1827.5664292922.

The spelling of 6104070144 in words is "six billion, one hundred four million, seventy thousand, one hundred forty-four".