723727470816 has 216 divisors, whose sum is σ = 2395232277984. Its totient is φ = 206682900480.

The previous prime is 723727470811. The next prime is 723727470827. The reversal of 723727470816 is 618074727327.

723727470816 is a `hidden beast` number, since 7 + 23 + 72 + 7 + 470 + 81 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (723727470811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33618136 + ... + 33639656.

It is an arithmetic number, because the mean of its divisors is an integer number (11089038324).

Almost surely, 2^723727470816 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 723727470816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197616138992).

723727470816 is an abundant number, since it is smaller than the sum of its proper divisors (1671504807168).

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

723727470816 is a wasteful number, since it uses less digits than its factorization.

723727470816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23934 (or 23916 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The spelling of 723727470816 in words is "seven hundred twenty-three billion, seven hundred twenty-seven million, four hundred seventy thousand, eight hundred sixteen".