77668864729344 has 108 divisors (see below), whose sum is σ = 255929696678656. Its totient is φ = 22191104203776.

The previous prime is 77668864729343. The next prime is 77668864729367. The reversal of 77668864729344 is 44392746886677.

77668864729344 is a `hidden beast` number, since 7 + 7 + 6 + 68 + 86 + 472 + 9 + 3 + 4 + 4 = 666.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (77668864729343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2407872784 + ... + 2407905039.

Almost surely, 2^{77668864729344} is an apocalyptic number.

It is an amenable number.

77668864729344 is an abundant number, since it is smaller than the sum of its proper divisors (178260831949312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77668864729344 is a wasteful number, since it uses less digits than its factorization.

77668864729344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4815777852 (or 4815777835 counting only the distinct ones).

The product of its digits is 16387080192, while the sum is 81.

The spelling of 77668864729344 in words is "seventy-seven trillion, six hundred sixty-eight billion, eight hundred sixty-four million, seven hundred twenty-nine thousand, three hundred forty-four".