723693612564 has 240 divisors, whose sum is σ = 2112401195520. Its totient is φ = 214542017280.

The previous prime is 723693612511. The next prime is 723693612641. The reversal of 723693612564 is 465216396327.

723693612564 is a `hidden beast` number, since 7 + 2 + 3 + 69 + 3 + 6 + 12 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 723693612564.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 29888887 + ... + 29913089.

It is an arithmetic number, because the mean of its divisors is an integer number (8801671648).

Almost surely, 2^723693612564 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 723693612564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056200597760).

723693612564 is an abundant number, since it is smaller than the sum of its proper divisors (1388707582956).

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

723693612564 is a wasteful number, since it uses less digits than its factorization.

723693612564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24492 (or 24481 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The spelling of 723693612564 in words is "seven hundred twenty-three billion, six hundred ninety-three million, six hundred twelve thousand, five hundred sixty-four".