732813945600 has 1296 divisors, whose sum is σ = 2806328196000. Its totient is φ = 168040857600.

The previous prime is 732813945587. The next prime is 732813945601. The reversal of 732813945600 is 6549318237.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 732813945600.

It is not an unprimeable number, because it can be changed into a prime (732813945601) by changing a digit.

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, 4918214326 + ... + 4918214474.

It is a 1-persistent number, because it is pandigital, but 2⋅732813945600 = 1465627891200 is not.

Almost surely, 2^732813945600 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 732813945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403164098000).

732813945600 is an abundant number, since it is smaller than the sum of its proper divisors (2073514250400).

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

732813945600 is a wasteful number, since it uses less digits than its factorization.

732813945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 732813945600 in words is "seven hundred thirty-two billion, eight hundred thirteen million, nine hundred forty-five thousand, six hundred".