728752064651856 has 300 divisors, whose sum is σ = 2454082185250080. Its totient is φ = 208172457682560.

The previous prime is 728752064651789. The next prime is 728752064651869. The reversal of 728752064651856 is 658156460257827.

728752064651856 is a `hidden beast` number, since 7 + 2 + 8 + 7 + 52 + 0 + 6 + 4 + 6 + 518 + 56 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 311209711 + ... + 313542641.

Almost surely, 2^{728752064651856} 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 728752064651856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227041092625040).

728752064651856 is an abundant number, since it is smaller than the sum of its proper divisors (1725330120598224).

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

728752064651856 is a wasteful number, since it uses less digits than its factorization.

728752064651856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337884 (or 2337862 counting only the distinct ones).

The product of its (nonzero) digits is 1354752000, while the sum is 72.

The spelling of 728752064651856 in words is "seven hundred twenty-eight trillion, seven hundred fifty-two billion, sixty-four million, six hundred fifty-one thousand, eight hundred fifty-six".