725243904000 has 2160 divisors, whose sum is σ = 3363507909216. Its totient is φ = 148635648000.

The previous prime is 725243903999. The next prime is 725243904031. The reversal of 725243904000 is 409342527.

725243904000 is a `hidden beast` number, since 7 + 2 + 5 + 243 + 9 + 0 + 400 + 0 = 666.

It is a super-2 number, since 2×725243904000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 9934847964 + ... + 9934848036.

Almost surely, 2^725243904000 is an apocalyptic number.

725243904000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725243904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681753954608).

725243904000 is an abundant number, since it is smaller than the sum of its proper divisors (2638264005216).

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

725243904000 is a wasteful number, since it uses less digits than its factorization.

725243904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 725243904000 in words is "seven hundred twenty-five billion, two hundred forty-three million, nine hundred four thousand".