768220636176 has 240 divisors, whose sum is σ = 2477561723520. Its totient is φ = 217669109760.

The previous prime is 768220636171. The next prime is 768220636279. The reversal of 768220636176 is 671636022867.

768220636176 is a `hidden beast` number, since 7 + 6 + 8 + 2 + 206 + 361 + 76 = 666.

It is not an unprimeable number, because it can be changed into a prime (768220636171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71317671 + ... + 71328441.

It is an arithmetic number, because the mean of its divisors is an integer number (10323173848).

Almost surely, 2^768220636176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768220636176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238780861760).

768220636176 is an abundant number, since it is smaller than the sum of its proper divisors (1709341087344).

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

768220636176 is a wasteful number, since it uses less digits than its factorization.

768220636176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11374 (or 11365 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 768220636176 in words is "seven hundred sixty-eight billion, two hundred twenty million, six hundred thirty-six thousand, one hundred seventy-six".