6864541480729 has 27 divisors (see below), whose sum is σ = 7143921045909. Its totient is φ = 6595865571960.

The previous prime is 6864541480703. The next prime is 6864541480733. The reversal of 6864541480729 is 9270841454686.

The square root of 6864541480729 is 2620027.

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

It is not a de Polignac number, because 6864541480729 - 2²¹ = 6864539383577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6864541400729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18112246462 + ... + 18112246840.

It is an arithmetic number, because the mean of its divisors is an integer number (264589668367).

Almost surely, 2^{6864541480729} is an apocalyptic number.

6864541480729 is the 2620027-th square number.

6864541480729 is the 1310014-th centered octagonal number.

It is an amenable number.

6864541480729 is a deficient number, since it is larger than the sum of its proper divisors (279379565180).

6864541480729 is an frugal number, since it uses more digits than its factorization.

6864541480729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 64.

Multiplying 6864541480729 by its sum of digits (64), we get a square (439330654766656 = 20960216²).

The spelling of 6864541480729 in words is "six trillion, eight hundred sixty-four billion, five hundred forty-one million, four hundred eighty thousand, seven hundred twenty-nine".