725954918400 has 1728 divisors, whose sum is σ = 2949917443200. Its totient is φ = 176292495360.

The previous prime is 725954918329. The next prime is 725954918411. The reversal of 725954918400 is 4819459527.

It is a happy number.

725954918400 is a `hidden beast` number, since 7 + 2 + 59 + 549 + 1 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8746444759 + ... + 8746444841.

It is an arithmetic number, because the mean of its divisors is an integer number (1707128150).

Almost surely, 2^725954918400 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 725954918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474958721600).

725954918400 is an abundant number, since it is smaller than the sum of its proper divisors (2223962524800).

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

725954918400 is a wasteful number, since it uses less digits than its factorization.

725954918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 725954918400 in words is "seven hundred twenty-five billion, nine hundred fifty-four million, nine hundred eighteen thousand, four hundred".