724000000000 has 240 divisors, whose sum is σ = 1819555477740. Its totient is φ = 288000000000.

The previous prime is 723999999991. The next prime is 724000000001. The reversal of 724000000000 is 427.

It can be written as a sum of positive squares in 10 ways, for example, as 225541407744 + 498458592256 = 474912^2 + 706016^2 .

It is not an unprimeable number, because it can be changed into a prime (724000000001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3999999910 + ... + 4000000090.

Almost surely, 2^724000000000 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 724000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909777738870).

724000000000 is an abundant number, since it is smaller than the sum of its proper divisors (1095555477740).

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

724000000000 is an frugal number, since it uses more digits than its factorization.

724000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

Adding to 724000000000 its reverse (427), we get a palindrome (724000000427).

The spelling of 724000000000 in words is "seven hundred twenty-four billion", and thus it is an aban number.