6724388111364 has 576 divisors, whose sum is σ = 24091070976000. Its totient is φ = 1597603150080.

The previous prime is 6724388111359. The next prime is 6724388111401. The reversal of 6724388111364 is 4631118834276.

6724388111364 is a `hidden beast` number, since 6 + 72 + 438 + 8 + 1 + 1 + 136 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6724388111364.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31969989 + ... + 32179635.

It is an arithmetic number, because the mean of its divisors is an integer number (41824776000).

Almost surely, 2^{6724388111364} 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 6724388111364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12045535488000).

6724388111364 is an abundant number, since it is smaller than the sum of its proper divisors (17366682864636).

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

6724388111364 is a wasteful number, since it uses less digits than its factorization.

6724388111364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209733 (or 209718 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 6724388111364 in words is "six trillion, seven hundred twenty-four billion, three hundred eighty-eight million, one hundred eleven thousand, three hundred sixty-four".