725364564300 has 216 divisors, whose sum is σ = 2302593405840. Its totient is φ = 190968422400.

The previous prime is 725364564259. The next prime is 725364564329. The reversal of 725364564300 is 3465463527.

725364564300 is a `hidden beast` number, since 7 + 2 + 53 + 6 + 4 + 564 + 30 + 0 = 666.

It is a super-2 number, since 2×725364564300² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 159034020 + ... + 159038580.

Almost surely, 2^725364564300 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 725364564300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151296702920).

725364564300 is an abundant number, since it is smaller than the sum of its proper divisors (1577228841540).

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

725364564300 is a wasteful number, since it uses less digits than its factorization.

725364564300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6793 (or 6783 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 725364564300 in words is "seven hundred twenty-five billion, three hundred sixty-four million, five hundred sixty-four thousand, three hundred".