725982566400 has 2304 divisors, whose sum is σ = 3412281600000. Its totient is φ = 147149291520.

The previous prime is 725982566359. The next prime is 725982566417. The reversal of 725982566400 is 4665289527.

725982566400 is a `hidden beast` number, since 7 + 2 + 598 + 2 + 5 + 6 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3648153501 + ... + 3648153699.

It is an arithmetic number, because the mean of its divisors is an integer number (1481025000).

Almost surely, 2^725982566400 is an apocalyptic number.

725982566400 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 725982566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706140800000).

725982566400 is an abundant number, since it is smaller than the sum of its proper divisors (2686299033600).

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

725982566400 is a wasteful number, since it uses less digits than its factorization.

725982566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 725982566400 in words is "seven hundred twenty-five billion, nine hundred eighty-two million, five hundred sixty-six thousand, four hundred".