728529776640 has 416 divisors, whose sum is σ = 2702668285440. Its totient is φ = 185824641024.

The previous prime is 728529776629. The next prime is 728529776641. The reversal of 728529776640 is 46677925827.

728529776640 is a `hidden beast` number, since 7 + 2 + 8 + 529 + 7 + 7 + 66 + 40 = 666.

It is a super-2 number, since 2×728529776640² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (728529776641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12689439 + ... + 12746721.

Almost surely, 2^728529776640 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 728529776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351334142720).

728529776640 is an abundant number, since it is smaller than the sum of its proper divisors (1974138508800).

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

728529776640 is a wasteful number, since it uses less digits than its factorization.

728529776640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57344 (or 57316 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 728529776640 in words is "seven hundred twenty-eight billion, five hundred twenty-nine million, seven hundred seventy-six thousand, six hundred forty".