6724081140 has 192 divisors, whose sum is σ = 22350096384. Its totient is φ = 1478518272.

The previous prime is 6724081127. The next prime is 6724081141. The reversal of 6724081140 is 411804276.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6724081141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1207242 + ... + 1212798.

It is an arithmetic number, because the mean of its divisors is an integer number (116406752).

Almost surely, 2^6724081140 is an apocalyptic number.

6724081140 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 6724081140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11175048192).

6724081140 is an abundant number, since it is smaller than the sum of its proper divisors (15626015244).

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

6724081140 is a wasteful number, since it uses less digits than its factorization.

6724081140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5686 (or 5684 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 6724081140 is about 82000.4947546050. The cubic root of 6724081140 is about 1887.4595300885.

The spelling of 6724081140 in words is "six billion, seven hundred twenty-four million, eighty-one thousand, one hundred forty".