127264810786632 has 128 divisors (see below), whose sum is σ = 354246705331200. Its totient is φ = 42333693811200.

The previous prime is 127264810786601. The next prime is 127264810786649. The reversal of 127264810786632 is 236687018462721.

127264810786632 is a `hidden beast` number, since 1 + 2 + 7 + 26 + 481 + 0 + 78 + 6 + 63 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 127264810786632.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201110788 + ... + 201742604.

It is an arithmetic number, because the mean of its divisors is an integer number (2767552385400).

Almost surely, 2^{127264810786632} is an apocalyptic number.

127264810786632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

127264810786632 is an abundant number, since it is smaller than the sum of its proper divisors (226981894544568).

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

127264810786632 is a wasteful number, since it uses less digits than its factorization.

127264810786632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633764 (or 633754 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 127264810786632 in words is "one hundred twenty-seven trillion, two hundred sixty-four billion, eight hundred ten million, seven hundred eighty-six thousand, six hundred thirty-two".