728366550547680 has 1152 divisors, whose sum is σ = 2856049866109440. Its totient is φ = 167392770048000.

The previous prime is 728366550547609. The next prime is 728366550547721. The reversal of 728366550547680 is 86745055663827.

728366550547680 is a `hidden beast` number, since 7 + 2 + 8 + 3 + 6 + 6 + 550 + 5 + 4 + 7 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 728366550547599 and 728366550547608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15999945399 + ... + 15999990921.

It is an arithmetic number, because the mean of its divisors is an integer number (2479209953220).

Almost surely, 2^{728366550547680} 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 728366550547680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428024933054720).

728366550547680 is an abundant number, since it is smaller than the sum of its proper divisors (2127683315561760).

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

728366550547680 is a wasteful number, since it uses less digits than its factorization.

728366550547680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46216 (or 46205 counting only the distinct ones).

The product of its (nonzero) digits is 2032128000, while the sum is 72.

The spelling of 728366550547680 in words is "seven hundred twenty-eight trillion, three hundred sixty-six billion, five hundred fifty million, five hundred forty-seven thousand, six hundred eighty".