6728813384832 has 384 divisors, whose sum is σ = 24157460920320. Its totient is φ = 1746531072000.

The previous prime is 6728813384827. The next prime is 6728813384903. The reversal of 6728813384832 is 2384833188276.

6728813384832 is a `hidden beast` number, since 6 + 72 + 8 + 81 + 3 + 3 + 8 + 483 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6728813384832.

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, 131522457 + ... + 131573607.

It is an arithmetic number, because the mean of its divisors is an integer number (62910054480).

Almost surely, 2^{6728813384832} 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 6728813384832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12078730460160).

6728813384832 is an abundant number, since it is smaller than the sum of its proper divisors (17428647535488).

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

6728813384832 is a wasteful number, since it uses less digits than its factorization.

6728813384832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52672 (or 52657 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 63.

The spelling of 6728813384832 in words is "six trillion, seven hundred twenty-eight billion, eight hundred thirteen million, three hundred eighty-four thousand, eight hundred thirty-two".