6006738124800 has 2160 divisors, whose sum is σ = 26336664158112. Its totient is φ = 1324980633600.

The previous prime is 6006738124757. The next prime is 6006738124813. The reversal of 6006738124800 is 84218376006.

6006738124800 is a `hidden beast` number, since 600 + 6 + 7 + 38 + 1 + 2 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 98471116770 + ... + 98471116830.

Almost surely, 2^{6006738124800} is an apocalyptic number.

6006738124800 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 6006738124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13168332079056).

6006738124800 is an abundant number, since it is smaller than the sum of its proper divisors (20329926033312).

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

6006738124800 is an frugal number, since it uses more digits than its factorization.

6006738124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 6006738124800 in words is "six trillion, six billion, seven hundred thirty-eight million, one hundred twenty-four thousand, eight hundred".