6801248629728 has 288 divisors, whose sum is σ = 22833904084992. Its totient is φ = 1879144012800.

The previous prime is 6801248629699. The next prime is 6801248629741. The reversal of 6801248629728 is 8279268421086.

6801248629728 is a `hidden beast` number, since 6 + 80 + 1 + 2 + 486 + 2 + 9 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86267575 + ... + 86346377.

It is an arithmetic number, because the mean of its divisors is an integer number (79284389184).

Almost surely, 2^{6801248629728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6801248629728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11416952042496).

6801248629728 is an abundant number, since it is smaller than the sum of its proper divisors (16032655455264).

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

6801248629728 is a wasteful number, since it uses less digits than its factorization.

6801248629728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80238 (or 80227 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 6801248629728 in words is "six trillion, eight hundred one billion, two hundred forty-eight million, six hundred twenty-nine thousand, seven hundred twenty-eight".