732128866560 has 2592 divisors, whose sum is σ = 3435121872000. Its totient is φ = 142244315136.

The previous prime is 732128866549. The next prime is 732128866561. The reversal of 732128866560 is 65668821237.

732128866560 is a `hidden beast` number, since 7 + 3 + 2 + 12 + 8 + 8 + 66 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 732128866497 and 732128866506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (732128866561) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8226166996 + ... + 8226167084.

It is an arithmetic number, because the mean of its divisors is an integer number (1325278500).

Almost surely, 2^732128866560 is an apocalyptic number.

732128866560 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 732128866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717560936000).

732128866560 is an abundant number, since it is smaller than the sum of its proper divisors (2702993005440).

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

732128866560 is a wasteful number, since it uses less digits than its factorization.

732128866560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 732128866560 in words is "seven hundred thirty-two billion, one hundred twenty-eight million, eight hundred sixty-six thousand, five hundred sixty".