684287965089 has 45 divisors (see below), whose sum is σ = 1033053198177. Its totient is φ = 451402390296.

The previous prime is 684287965037. The next prime is 684287965133. The reversal of 684287965089 is 980569782486.

The square root of 684287965089 is 827217.

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

684287965089 is a `hidden beast` number, since 6 + 8 + 4 + 28 + 7 + 96 + 508 + 9 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-684287965089 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (684287965589) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 796609542 + ... + 796610400.

Almost surely, 2^684287965089 is an apocalyptic number.

684287965089 is the 827217-th square number.

684287965089 is the 413609-th centered octagonal number.

It is an amenable number.

684287965089 is a deficient number, since it is larger than the sum of its proper divisors (348765233088).

684287965089 is an frugal number, since it uses more digits than its factorization.

684287965089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 684287965089 in words is "six hundred eighty-four billion, two hundred eighty-seven million, nine hundred sixty-five thousand, eighty-nine".