725936450400 has 2016 divisors, whose sum is σ = 3278790144000. Its totient is φ = 156372249600.

The previous prime is 725936450399. The next prime is 725936450411. The reversal of 725936450400 is 4054639527.

725936450400 is a `hidden beast` number, since 7 + 2 + 593 + 6 + 4 + 50 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 335 ways as a sum of consecutive naturals, for example, 3800714305 + ... + 3800714495.

It is an arithmetic number, because the mean of its divisors is an integer number (1626384000).

Almost surely, 2^725936450400 is an apocalyptic number.

725936450400 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 725936450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639395072000).

725936450400 is an abundant number, since it is smaller than the sum of its proper divisors (2552853693600).

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

725936450400 is a wasteful number, since it uses less digits than its factorization.

725936450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 725936450400 in words is "seven hundred twenty-five billion, nine hundred thirty-six million, four hundred fifty thousand, four hundred".