723295968000 has 576 divisors, whose sum is σ = 2490506403840. Its totient is φ = 185862144000.

The previous prime is 723295967939. The next prime is 723295968007. The reversal of 723295968000 is 869592327.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (723295968007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1068383662 + ... + 1068384338.

It is an arithmetic number, because the mean of its divisors is an integer number (4323795840).

Almost surely, 2^723295968000 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 723295968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245253201920).

723295968000 is an abundant number, since it is smaller than the sum of its proper divisors (1767210435840).

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

723295968000 is a wasteful number, since it uses less digits than its factorization.

723295968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 723295968000 in words is "seven hundred twenty-three billion, two hundred ninety-five million, nine hundred sixty-eight thousand".