723643160064 has 960 divisors, whose sum is σ = 2332290723840. Its totient is φ = 198696960000.

The previous prime is 723643160029. The next prime is 723643160081. The reversal of 723643160064 is 460061346327.

It is a junction number, because it is equal to n+sod(n) for n = 723643159998 and 723643160025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10192157149 + ... + 10192157219.

It is an arithmetic number, because the mean of its divisors is an integer number (2429469504).

Almost surely, 2^723643160064 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 723643160064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166145361920).

723643160064 is an abundant number, since it is smaller than the sum of its proper divisors (1608647563776).

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

723643160064 is a wasteful number, since it uses less digits than its factorization.

723643160064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 723643160064 in words is "seven hundred twenty-three billion, six hundred forty-three million, one hundred sixty thousand, sixty-four".