6728514082080 has 288 divisors, whose sum is σ = 24658189045056. Its totient is φ = 1537759512576.

The previous prime is 6728514082079. The next prime is 6728514082093. The reversal of 6728514082080 is 802804158276.

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, 316968427 + ... + 316989653.

It is an arithmetic number, because the mean of its divisors is an integer number (85618711962).

Almost surely, 2^{6728514082080} is an apocalyptic number.

6728514082080 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 6728514082080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12329094522528).

6728514082080 is an abundant number, since it is smaller than the sum of its proper divisors (17929674962976).

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

6728514082080 is a wasteful number, since it uses less digits than its factorization.

6728514082080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34736 (or 34721 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

The spelling of 6728514082080 in words is "six trillion, seven hundred twenty-eight billion, five hundred fourteen million, eighty-two thousand, eighty".