724057338672 has 120 divisors (see below), whose sum is σ = 2052540771840. Its totient is φ = 238235137920.

The previous prime is 724057338671. The next prime is 724057338679. The reversal of 724057338672 is 276833750427.

724057338672 is a `hidden beast` number, since 7 + 2 + 4 + 0 + 573 + 3 + 8 + 67 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (724057338671) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 68102797 + ... + 68113427.

It is an arithmetic number, because the mean of its divisors is an integer number (17104506432).

Almost surely, 2^724057338672 is an apocalyptic number.

724057338672 is a gapful number since it is divisible by the number (72) 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 724057338672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026270385920).

724057338672 is an abundant number, since it is smaller than the sum of its proper divisors (1328483433168).

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

724057338672 is a wasteful number, since it uses less digits than its factorization.

724057338672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16711 (or 16702 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 724057338672 in words is "seven hundred twenty-four billion, fifty-seven million, three hundred thirty-eight thousand, six hundred seventy-two".