768369705489 has 81 divisors (see below), whose sum is σ = 1170457789683. Its totient is φ = 485716293504.

The previous prime is 768369705463. The next prime is 768369705497. The reversal of 768369705489 is 984507963867.

The square root of 768369705489 is 876567.

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

768369705489 is a `hidden beast` number, since 7 + 6 + 8 + 3 + 6 + 9 + 70 + 548 + 9 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 201451061889 + 566918643600 = 448833^2 + 752940^2 .

It is not a de Polignac number, because 768369705489 - 2¹¹ = 768369703441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (768369707489) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5156843587 + ... + 5156843735.

Almost surely, 2^768369705489 is an apocalyptic number.

768369705489 is the 876567-th square number.

768369705489 is the 438284-th centered octagonal number.

It is an amenable number.

768369705489 is a deficient number, since it is larger than the sum of its proper divisors (402088084194).

768369705489 is an equidigital number, since it uses as much as digits as its factorization.

768369705489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 768369705489 in words is "seven hundred sixty-eight billion, three hundred sixty-nine million, seven hundred five thousand, four hundred eighty-nine".