728473340672 has 216 divisors, whose sum is σ = 1889643252000. Its totient is φ = 274031493120.

The previous prime is 728473340669. The next prime is 728473340723. The reversal of 728473340672 is 276043374827.

It is a super-3 number, since 3×728473340672³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6230204 + ... + 6346052.

Almost surely, 2^728473340672 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 728473340672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944821626000).

728473340672 is an abundant number, since it is smaller than the sum of its proper divisors (1161169911328).

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

728473340672 is a wasteful number, since it uses less digits than its factorization.

728473340672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115923 (or 115898 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 53.

The spelling of 728473340672 in words is "seven hundred twenty-eight billion, four hundred seventy-three million, three hundred forty thousand, six hundred seventy-two".