723648744 has 192 divisors, whose sum is σ = 2539555200. Its totient is φ = 180776448.

The previous prime is 723648743. The next prime is 723648749. The reversal of 723648744 is 447846327.

It is a super-6 number, since 6×723648744⁶ (a number of 54 digits) contains 666666 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 723648744.

It is not an unprimeable number, because it can be changed into a prime (723648743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121582 + ... + 127394.

It is an arithmetic number, because the mean of its divisors is an integer number (13226850).

Almost surely, 2^723648744 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 723648744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269777600).

723648744 is an abundant number, since it is smaller than the sum of its proper divisors (1815906456).

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

723648744 is a wasteful number, since it uses less digits than its factorization.

723648744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5864 (or 5857 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The square root of 723648744 is about 26900.7201390595. The cubic root of 723648744 is about 897.7924265973.

The spelling of 723648744 in words is "seven hundred twenty-three million, six hundred forty-eight thousand, seven hundred forty-four".