723953664 has 288 divisors, whose sum is σ = 2480325120. Its totient is φ = 199065600.

The previous prime is 723953641. The next prime is 723953677. The reversal of 723953664 is 466359327.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (816480) is a multiple of the sum of its prime divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3999654 + ... + 3999834.

It is an arithmetic number, because the mean of its divisors is an integer number (8612240).

Almost surely, 2^723953664 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 723953664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240162560).

723953664 is an abundant number, since it is smaller than the sum of its proper divisors (1756371456).

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

723953664 is a wasteful number, since it uses less digits than its factorization.

723953664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 224 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 723953664 is about 26906.3870484315. The cubic root of 723953664 is about 897.9185082208.

The spelling of 723953664 in words is "seven hundred twenty-three million, nine hundred fifty-three thousand, six hundred sixty-four".