6042729600 has 576 divisors, whose sum is σ = 23594844000. Its totient is φ = 1522851840.

The previous prime is 6042729599. The next prime is 6042729613. The reversal of 6042729600 is 69272406.

It is a happy number.

6042729600 is a `hidden beast` number, since 6 + 0 + 4 + 27 + 29 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14774196 + ... + 14774604.

Almost surely, 2^6042729600 is an apocalyptic number.

6042729600 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 6042729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11797422000).

6042729600 is an abundant number, since it is smaller than the sum of its proper divisors (17552114400).

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

6042729600 is a wasteful number, since it uses less digits than its factorization.

6042729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6042729600 is about 77734.9959799317. The cubic root of 6042729600 is about 1821.4239952431.

The spelling of 6042729600 in words is "six billion, forty-two million, seven hundred twenty-nine thousand, six hundred".