727308774976 has 189 divisors, whose sum is σ = 1707246838611. Its totient is φ = 306525413376.

The previous prime is 727308774943. The next prime is 727308774979. The reversal of 727308774976 is 679477803727.

The square root of 727308774976 is 852824.

It is a perfect power (a square), and thus also a powerful number.

727308774976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 49650534976 + 677658240000 = 222824^2 + 823200^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (727308774979) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4632539890 + ... + 4632540046.

Almost surely, 2^727308774976 is an apocalyptic number.

727308774976 is the 852824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 727308774976

727308774976 is an abundant number, since it is smaller than the sum of its proper divisors (979938063635).

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

727308774976 is an frugal number, since it uses more digits than its factorization.

727308774976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 174254976, while the sum is 67.

The spelling of 727308774976 in words is "seven hundred twenty-seven billion, three hundred eight million, seven hundred seventy-four thousand, nine hundred seventy-six".