6724452059136 has 960 divisors, whose sum is σ = 24287975712000. Its totient is φ = 1812038418432.

The previous prime is 6724452059131. The next prime is 6724452059137. The reversal of 6724452059136 is 6319502544276.

It is a happy number.

6724452059136 is a `hidden beast` number, since 6 + 7 + 2 + 4 + 45 + 2 + 0 + 591 + 3 + 6 = 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 (6724452059131) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1949679940 + ... + 1949683388.

It is an arithmetic number, because the mean of its divisors is an integer number (25299974700).

Almost surely, 2^{6724452059136} 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 6724452059136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12143987856000).

6724452059136 is an abundant number, since it is smaller than the sum of its proper divisors (17563523652864).

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

6724452059136 is a wasteful number, since it uses less digits than its factorization.

6724452059136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 6724452059136 in words is "six trillion, seven hundred twenty-four billion, four hundred fifty-two million, fifty-nine thousand, one hundred thirty-six".