725364567820 has 48 divisors (see below), whose sum is σ = 1526629376160. Its totient is φ = 289505442816.

The previous prime is 725364567797. The next prime is 725364567827. The reversal of 725364567820 is 28765463527.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (725364567827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44687466 + ... + 44703694.

It is an arithmetic number, because the mean of its divisors is an integer number (31804778670).

Almost surely, 2^725364567820 is an apocalyptic number.

It is an amenable number.

725364567820 is an abundant number, since it is smaller than the sum of its proper divisors (801264808340).

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

725364567820 is a wasteful number, since it uses less digits than its factorization.

725364567820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21034 (or 21032 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 55.

The spelling of 725364567820 in words is "seven hundred twenty-five billion, three hundred sixty-four million, five hundred sixty-seven thousand, eight hundred twenty".