723924864 has 320 divisors, whose sum is σ = 2394841680. Its totient is φ = 215654400.

The previous prime is 723924863. The next prime is 723924907. The reversal of 723924864 is 468429327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (723924863) 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 39 ways as a sum of consecutive naturals, for example, 5526079 + ... + 5526209.

Almost surely, 2^723924864 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 723924864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197420840).

723924864 is an abundant number, since it is smaller than the sum of its proper divisors (1670916816).

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

723924864 is a wasteful number, since it uses less digits than its factorization.

723924864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 190 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 723924864 is about 26905.8518541971. The cubic root of 723924864 is about 897.9066011991.

The spelling of 723924864 in words is "seven hundred twenty-three million, nine hundred twenty-four thousand, eight hundred sixty-four".