723968640 has 384 divisors, whose sum is σ = 2660486400. Its totient is φ = 181149696.

The previous prime is 723968633. The next prime is 723968653. The reversal of 723968640 is 46869327.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9164121 + ... + 9164199.

It is an arithmetic number, because the mean of its divisors is an integer number (6928350).

Almost surely, 2^723968640 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 723968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330243200).

723968640 is an abundant number, since it is smaller than the sum of its proper divisors (1936517760).

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

723968640 is a wasteful number, since it uses less digits than its factorization.

723968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 723968640 is about 26906.6653452263. The cubic root of 723968640 is about 897.9246997473.

The spelling of 723968640 in words is "seven hundred twenty-three million, nine hundred sixty-eight thousand, six hundred forty".