732256718400 has 315 divisors, whose sum is σ = 2692724327139. Its totient is φ = 195186309120.

The previous prime is 732256718381. The next prime is 732256718407. The reversal of 732256718400 is 4817652237.

The square root of 732256718400 is 855720.

It is a perfect power (a square), and thus also a powerful number.

732256718400 is a `hidden beast` number, since 7 + 3 + 2 + 2 + 567 + 1 + 84 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43808164416 + 688448553984 = 209304^2 + 829728^2 .

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

It is not an unprimeable number, because it can be changed into a prime (732256718407) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 308058012 + ... + 308060388.

Almost surely, 2^732256718400 is an apocalyptic number.

732256718400 is the 855720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 732256718400

732256718400 is an abundant number, since it is smaller than the sum of its proper divisors (1960467608739).

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

732256718400 is an frugal number, since it uses more digits than its factorization.

732256718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4788 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 732256718400 in words is "seven hundred thirty-two billion, two hundred fifty-six million, seven hundred eighteen thousand, four hundred".