768642681600 has 648 divisors, whose sum is σ = 2846620096320. Its totient is φ = 197739601920.

The previous prime is 768642681577. The next prime is 768642681649. The reversal of 768642681600 is 6186246867.

768642681600 is a `hidden beast` number, since 7 + 6 + 8 + 6 + 4 + 26 + 8 + 1 + 600 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 205572531 + ... + 205576269.

Almost surely, 2^768642681600 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 768642681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423310048160).

768642681600 is an abundant number, since it is smaller than the sum of its proper divisors (2077977414720).

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

768642681600 is a wasteful number, since it uses less digits than its factorization.

768642681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3897 (or 3875 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 768642681600 in words is "seven hundred sixty-eight billion, six hundred forty-two million, six hundred eighty-one thousand, six hundred".