6007241362728 has 64 divisors (see below), whose sum is σ = 15901937746560. Its totient is φ = 1884575379456.

The previous prime is 6007241362699. The next prime is 6007241362729. The reversal of 6007241362728 is 8272631427006.

It is not an unprimeable number, because it can be changed into a prime (6007241362729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17359200 + ... + 17701872.

It is an arithmetic number, because the mean of its divisors is an integer number (248467777290).

Almost surely, 2^{6007241362728} is an apocalyptic number.

6007241362728 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

6007241362728 is an abundant number, since it is smaller than the sum of its proper divisors (9894696383832).

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

6007241362728 is a wasteful number, since it uses less digits than its factorization.

6007241362728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385666 (or 385662 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 6007241362728 in words is "six trillion, seven billion, two hundred forty-one million, three hundred sixty-two thousand, seven hundred twenty-eight".