724010388544 has 189 divisors, whose sum is σ = 1537869543381. Its totient is φ = 338176926720.

The previous prime is 724010388487. The next prime is 724010388551. The reversal of 724010388544 is 445883010427.

The square root of 724010388544 is 850888.

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

It can be written as a sum of positive squares in only one way, i.e., 410983566400 + 313026822144 = 641080^2 + 559488^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 724010388494 and 724010388503.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9917950492 + ... + 9917950564.

Almost surely, 2^724010388544 is an apocalyptic number.

724010388544 is the 850888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 724010388544

724010388544 is an abundant number, since it is smaller than the sum of its proper divisors (813859154837).

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

724010388544 is an frugal number, since it uses more digits than its factorization.

724010388544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 46.

The spelling of 724010388544 in words is "seven hundred twenty-four billion, ten million, three hundred eighty-eight thousand, five hundred forty-four".