864849780729 has 27 divisors (see below), whose sum is σ = 1373166514447. Its totient is φ = 524132782800.

The previous prime is 864849780703. The next prime is 864849780853. The reversal of 864849780729 is 927087948468.

The square root of 864849780729 is 929973.

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

864849780729 is a `hidden beast` number, since 8 + 6 + 484 + 9 + 78 + 0 + 72 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 789828570729 + 75021210000 = 888723^2 + 273900^2 .

It is not a de Polignac number, because 864849780729 - 2²⁵ = 864816226297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (864849710729) 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, 30675019 + ... + 30703199.

Almost surely, 2^864849780729 is an apocalyptic number.

864849780729 is the 929973-rd square number.

864849780729 is the 464987-th centered octagonal number.

It is an amenable number.

864849780729 is a deficient number, since it is larger than the sum of its proper divisors (508316733718).

864849780729 is an frugal number, since it uses more digits than its factorization.

864849780729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56390 (or 28195 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 864849780729 in words is "eight hundred sixty-four billion, eight hundred forty-nine million, seven hundred eighty thousand, seven hundred twenty-nine".