725401366200 has 576 divisors, whose sum is σ = 2978409994560. Its totient is φ = 154439516160.

The previous prime is 725401366199. The next prime is 725401366211. The reversal of 725401366200 is 2663104527.

725401366200 is a `hidden beast` number, since 7 + 25 + 4 + 0 + 1 + 3 + 6 + 620 + 0 = 666.

725401366200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20759944 + ... + 20794856.

It is an arithmetic number, because the mean of its divisors is an integer number (5170850685).

Almost surely, 2^725401366200 is an apocalyptic number.

725401366200 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 725401366200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489204997280).

725401366200 is an abundant number, since it is smaller than the sum of its proper divisors (2253008628360).

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

725401366200 is a wasteful number, since it uses less digits than its factorization.

725401366200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35056 (or 35044 counting only the distinct ones).

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

The spelling of 725401366200 in words is "seven hundred twenty-five billion, four hundred one million, three hundred sixty-six thousand, two hundred".