723564465327 has 64 divisors (see below), whose sum is σ = 1197740544000. Its totient is φ = 427914718560.

The previous prime is 723564465313. The next prime is 723564465331.

723564465327 is a `hidden beast` number, since 7 + 2 + 3 + 5 + 64 + 46 + 532 + 7 = 666.

723564465327 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 723564465327 - 2²⁸ = 723296029871 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (723564465347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13548924 + ... + 13602222.

It is an arithmetic number, because the mean of its divisors is an integer number (18714696000).

Almost surely, 2^723564465327 is an apocalyptic number.

723564465327 is a deficient number, since it is larger than the sum of its proper divisors (474176078673).

723564465327 is a wasteful number, since it uses less digits than its factorization.

723564465327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54425 (or 54419 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 54.

The spelling of 723564465327 in words is "seven hundred twenty-three billion, five hundred sixty-four million, four hundred sixty-five thousand, three hundred twenty-seven".