6801306128000 has 256 divisors, whose sum is σ = 17048435040000. Its totient is φ = 2698283520000.

The previous prime is 6801306127991. The next prime is 6801306128021. The reversal of 6801306128000 is 8216031086.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1333325450 + ... + 1333330550.

It is an arithmetic number, because the mean of its divisors is an integer number (66595449375).

Almost surely, 2^{6801306128000} 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 6801306128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8524217520000).

6801306128000 is an abundant number, since it is smaller than the sum of its proper divisors (10247128912000).

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

6801306128000 is a wasteful number, since it uses less digits than its factorization.

6801306128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5796 (or 5774 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 6801306128000 in words is "six trillion, eight hundred one billion, three hundred six million, one hundred twenty-eight thousand".