732721766400 has 672 divisors, whose sum is σ = 2899264122720. Its totient is φ = 180344586240.

The previous prime is 732721766333. The next prime is 732721766411. The reversal of 732721766400 is 4667127237.

732721766400 is a `hidden beast` number, since 7 + 3 + 2 + 72 + 176 + 6 + 400 = 666.

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

It is a zygodrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71879704 + ... + 71889896.

It is an arithmetic number, because the mean of its divisors is an integer number (4314381135).

Almost surely, 2^732721766400 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 732721766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449632061360).

732721766400 is an abundant number, since it is smaller than the sum of its proper divisors (2166542356320).

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

732721766400 is a wasteful number, since it uses less digits than its factorization.

732721766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10251 (or 10216 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 732721766400 in words is "seven hundred thirty-two billion, seven hundred twenty-one million, seven hundred sixty-six thousand, four hundred".