2638727687568 has 80 divisors (see below), whose sum is σ = 7971704508416. Its totient is φ = 736389118080.

The previous prime is 2638727687543. The next prime is 2638727687569. The reversal of 2638727687568 is 8657867278362.

It is a self number, because there is not a number n which added to its sum of digits gives 2638727687568.

It is not an unprimeable number, because it can be changed into a prime (2638727687569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91303648 + ... + 91332543.

Almost surely, 2^{2638727687568} is an apocalyptic number.

2638727687568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2638727687568 is an abundant number, since it is smaller than the sum of its proper divisors (5332976820848).

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

2638727687568 is a wasteful number, since it uses less digits than its factorization.

2638727687568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182636252 (or 182636246 counting only the distinct ones).

The product of its digits is 2275983360, while the sum is 75.

The spelling of 2638727687568 in words is "two trillion, six hundred thirty-eight billion, seven hundred twenty-seven million, six hundred eighty-seven thousand, five hundred sixty-eight".