725663822400 has 1008 divisors, whose sum is σ = 3075616147968. Its totient is φ = 160210944000.

The previous prime is 725663822393. The next prime is 725663822413. The reversal of 725663822400 is 4228366527.

725663822400 is a `hidden beast` number, since 7 + 2 + 5 + 6 + 638 + 2 + 2 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83472454 + ... + 83481146.

It is an arithmetic number, because the mean of its divisors is an integer number (3051206496).

Almost surely, 2^725663822400 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 725663822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537808073984).

725663822400 is an abundant number, since it is smaller than the sum of its proper divisors (2349952325568).

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

725663822400 is a wasteful number, since it uses less digits than its factorization.

725663822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8780 (or 8762 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 725663822400 in words is "seven hundred twenty-five billion, six hundred sixty-three million, eight hundred twenty-two thousand, four hundred".