6006056337600 has 336 divisors, whose sum is σ = 21650897170560. Its totient is φ = 1445536972800.

The previous prime is 6006056337571. The next prime is 6006056337607. The reversal of 6006056337600 is 67336506006.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6006056337607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6930024 + ... + 7748376.

It is an arithmetic number, because the mean of its divisors is an integer number (64437193960).

Almost surely, 2^{6006056337600} is an apocalyptic number.

6006056337600 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 6006056337600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10825448585280).

6006056337600 is an abundant number, since it is smaller than the sum of its proper divisors (15644840832960).

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

6006056337600 is a wasteful number, since it uses less digits than its factorization.

6006056337600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818528 (or 818513 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 42.

The spelling of 6006056337600 in words is "six trillion, six billion, fifty-six million, three hundred thirty-seven thousand, six hundred".