728761743360 has 1728 divisors, whose sum is σ = 3140234697600. Its totient is φ = 161529790464.

The previous prime is 728761743343. The next prime is 728761743371. The reversal of 728761743360 is 63347167827.

728761743360 is a `hidden beast` number, since 72 + 8 + 76 + 17 + 433 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 728761743297 and 728761743306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5242890171 + ... + 5242890309.

It is an arithmetic number, because the mean of its divisors is an integer number (1817265450).

Almost surely, 2^728761743360 is an apocalyptic number.

728761743360 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 728761743360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570117348800).

728761743360 is an abundant number, since it is smaller than the sum of its proper divisors (2411472954240).

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

728761743360 is a wasteful number, since it uses less digits than its factorization.

728761743360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 728761743360 in words is "seven hundred twenty-eight billion, seven hundred sixty-one million, seven hundred forty-three thousand, three hundred sixty".