6144684000 has 768 divisors, whose sum is σ = 26311993344. Its totient is φ = 1216512000.

The previous prime is 6144683989. The next prime is 6144684011. The reversal of 6144684000 is 4864416.

It is an interprime number because it is at equal distance from previous prime (6144683989) and next prime (6144684011).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18563835 + ... + 18564165.

It is an arithmetic number, because the mean of its divisors is an integer number (34260408).

Almost surely, 2^6144684000 is an apocalyptic number.

6144684000 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 6144684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13155996672).

6144684000 is an abundant number, since it is smaller than the sum of its proper divisors (20167309344).

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

6144684000 is a wasteful number, since it uses less digits than its factorization.

6144684000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 6144684000 is about 78388.0348012374. The cubic root of 6144684000 is about 1831.6107529714.

The spelling of 6144684000 in words is "six billion, one hundred forty-four million, six hundred eighty-four thousand".