8240463729 has 9 divisors (see below), whose sum is σ = 11903285433. Its totient is φ = 5493460932.

The previous prime is 8240463689. The next prime is 8240463731. The reversal of 8240463729 is 9273640428.

The square root of 8240463729 is 90777.

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

8240463729 is a `hidden beast` number, since 8 + 2 + 4 + 0 + 4 + 637 + 2 + 9 = 666.

8240463729 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 8240463729 - 2¹¹ = 8240461681 is a prime.

It is a super-4 number, since 4×8240463729⁴ (a number of 41 digits) contains 4444 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8240463779) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 257202 + ... + 287460.

Almost surely, 2^8240463729 is an apocalyptic number.

8240463729 is the 90777-th square number.

8240463729 is the 45389-th centered octagonal number.

It is an amenable number.

8240463729 is a deficient number, since it is larger than the sum of its proper divisors (3662821704).

8240463729 is an frugal number, since it uses more digits than its factorization.

8240463729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60524 (or 30262 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The cubic root of 8240463729 is about 2019.8411574114.

It can be divided in two parts, 8240 and 463729, that added together give a square (471969 = 687²).

The spelling of 8240463729 in words is "eight billion, two hundred forty million, four hundred sixty-three thousand, seven hundred twenty-nine".