127631637640 has 64 divisors (see below), whose sum is σ = 317619736560. Its totient is φ = 45851857920.

The previous prime is 127631637607. The next prime is 127631637649. The reversal of 127631637640 is 46736136721.

It can be written as a sum of positive squares in 8 ways, for example, as 38160059716 + 89471577924 = 195346^2 + 299118^2 .

It is not an unprimeable number, because it can be changed into a prime (127631637649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3297591 + ... + 3336070.

Almost surely, 2^127631637640 is an apocalyptic number.

127631637640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127631637640 is an abundant number, since it is smaller than the sum of its proper divisors (189988098920).

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

127631637640 is a wasteful number, since it uses less digits than its factorization.

127631637640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6633722 (or 6633718 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 46.

The spelling of 127631637640 in words is "one hundred twenty-seven billion, six hundred thirty-one million, six hundred thirty-seven thousand, six hundred forty".