6728335680 has 168 divisors, whose sum is σ = 23481462816. Its totient is φ = 1631083520.

The previous prime is 6728335631. The next prime is 6728335681. The reversal of 6728335680 is 865338276.

It is a super-2 number, since 2×6728335680² = 90541002045522124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6728335681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87199 + ... + 145121.

It is an arithmetic number, because the mean of its divisors is an integer number (139770612).

Almost surely, 2^6728335680 is an apocalyptic number.

6728335680 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 6728335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11740731408).

6728335680 is an abundant number, since it is smaller than the sum of its proper divisors (16753127136).

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

6728335680 is a wasteful number, since it uses less digits than its factorization.

6728335680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57965 (or 57944 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 6728335680 is about 82026.4328128439. The cubic root of 6728335680 is about 1887.8575313831.

The spelling of 6728335680 in words is "six billion, seven hundred twenty-eight million, three hundred thirty-five thousand, six hundred eighty".