725934643200 has 864 divisors, whose sum is σ = 2819610939600. Its totient is φ = 177430855680.

The previous prime is 725934643183. The next prime is 725934643201. The reversal of 725934643200 is 2346439527.

725934643200 is a `hidden beast` number, since 72 + 5 + 93 + 464 + 32 + 0 + 0 = 666.

It is a super-2 number, since 2×725934643200² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725934643201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1072281262 + ... + 1072281938.

Almost surely, 2^725934643200 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 725934643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409805469800).

725934643200 is an abundant number, since it is smaller than the sum of its proper divisors (2093676296400).

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

725934643200 is a wasteful number, since it uses less digits than its factorization.

725934643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 725934643200 in words is "seven hundred twenty-five billion, nine hundred thirty-four million, six hundred forty-three thousand, two hundred".