6724872882 has 384 divisors, whose sum is σ = 20077424640. Its totient is φ = 1637625600.

The previous prime is 6724872881. The next prime is 6724872919. The reversal of 6724872882 is 2882784276.

6724872882 is a `hidden beast` number, since 67 + 2 + 487 + 28 + 82 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6724872881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44535507 + ... + 44535657.

It is an arithmetic number, because the mean of its divisors is an integer number (52284960).

Almost surely, 2^6724872882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6724872882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10038712320).

6724872882 is an abundant number, since it is smaller than the sum of its proper divisors (13352551758).

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

6724872882 is a wasteful number, since it uses less digits than its factorization.

6724872882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 248 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The square root of 6724872882 is about 82005.3222784960. The cubic root of 6724872882 is about 1887.5336082316.

The spelling of 6724872882 in words is "six billion, seven hundred twenty-four million, eight hundred seventy-two thousand, eight hundred eighty-two".