6728706600 has 192 divisors, whose sum is σ = 26006192640. Its totient is φ = 1398163200.

The previous prime is 6728706583. The next prime is 6728706631. The reversal of 6728706600 is 66078276.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 26622 + ... + 119021.

It is an arithmetic number, because the mean of its divisors is an integer number (135448920).

Almost surely, 2^6728706600 is an apocalyptic number.

6728706600 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 6728706600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13003096320).

6728706600 is an abundant number, since it is smaller than the sum of its proper divisors (19277486040).

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

6728706600 is a wasteful number, since it uses less digits than its factorization.

6728706600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145680 (or 145671 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 6728706600 is about 82028.6937601715. The cubic root of 6728706600 is about 1887.8922220446.

The spelling of 6728706600 in words is "six billion, seven hundred twenty-eight million, seven hundred six thousand, six hundred".