842773572729 has 105 divisors (see below), whose sum is σ = 1394895906895. Its totient is φ = 508954168800.

The previous prime is 842773572709. The next prime is 842773572763. The reversal of 842773572729 is 927275377248.

The square root of 842773572729 is 918027.

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

842773572729 is a `hidden beast` number, since 8 + 4 + 2 + 7 + 7 + 357 + 272 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 569537374329 + 273236198400 = 754677^2 + 522720^2 .

It is not a de Polignac number, because 842773572729 - 2⁷ = 842773572601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (842773572709) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 2999194069 + ... + 2999194349.

Almost surely, 2^842773572729 is an apocalyptic number.

842773572729 is the 918027-th square number.

842773572729 is the 459014-th centered octagonal number.

It is an amenable number.

842773572729 is a deficient number, since it is larger than the sum of its proper divisors (552122334166).

842773572729 is an frugal number, since it uses more digits than its factorization.

842773572729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 295 counting only the distinct ones).

The product of its digits is 82978560, while the sum is 63.

The spelling of 842773572729 in words is "eight hundred forty-two billion, seven hundred seventy-three million, five hundred seventy-two thousand, seven hundred twenty-nine".