8027634600768 has 56 divisors (see below), whose sum is σ = 21392587481440. Its totient is φ = 2656627269120.

The previous prime is 8027634600707. The next prime is 8027634600779. The reversal of 8027634600768 is 8670064367208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150371143 + ... + 150424518.

It is an arithmetic number, because the mean of its divisors is an integer number (382010490740).

Almost surely, 2^{8027634600768} is an apocalyptic number.

It is an amenable number.

8027634600768 is an abundant number, since it is smaller than the sum of its proper divisors (13364952880672).

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

8027634600768 is a wasteful number, since it uses less digits than its factorization.

8027634600768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300795815 (or 300795805 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 57.

The spelling of 8027634600768 in words is "eight trillion, twenty-seven billion, six hundred thirty-four million, six hundred thousand, seven hundred sixty-eight".