6144000030 has 192 divisors, whose sum is σ = 18951528960. Its totient is φ = 1351219968.

The previous prime is 6144000029. The next prime is 6144000041. The reversal of 6144000030 is 300004416.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 6143999967 and 6144000012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9554889 + ... + 9555531.

It is an arithmetic number, because the mean of its divisors is an integer number (98705880).

Almost surely, 2^6144000030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6144000030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9475764480).

6144000030 is an abundant number, since it is smaller than the sum of its proper divisors (12807528930).

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

6144000030 is a wasteful number, since it uses less digits than its factorization.

6144000030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 6144000030 is about 78383.6719604281. The cubic root of 6144000030 is about 1831.5427910664.

Adding to 6144000030 its reverse (300004416), we get a palindrome (6444004446).

The spelling of 6144000030 in words is "six billion, one hundred forty-four million, thirty", and thus it is an aban number.