724711690000 has 75 divisors (see below), whose sum is σ = 1754805605113. Its totient is φ = 289850624000.

The previous prime is 724711689959. The next prime is 724711690007. The reversal of 724711690000 is 96117427.

The square root of 724711690000 is 851300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 129073495824 + 595638194176 = 359268^2 + 771776^2 .

It is a super-2 number, since 2×724711690000² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (724711690007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 85125744 + ... + 85134256.

Almost surely, 2^724711690000 is an apocalyptic number.

724711690000 is the 851300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 724711690000

724711690000 is an abundant number, since it is smaller than the sum of its proper divisors (1030093915113).

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

724711690000 is an frugal number, since it uses more digits than its factorization.

724711690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17054 (or 8520 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The spelling of 724711690000 in words is "seven hundred twenty-four billion, seven hundred eleven million, six hundred ninety thousand".