127675000640 has 224 divisors, whose sum is σ = 337117334400. Its totient is φ = 45670072320.

The previous prime is 127675000627. The next prime is 127675000697. The reversal of 127675000640 is 46000576721.

It is a junction number, because it is equal to n+sod(n) for n = 127675000594 and 127675000603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61116716 + ... + 61118804.

It is an arithmetic number, because the mean of its divisors is an integer number (1504988100).

Almost surely, 2^127675000640 is an apocalyptic number.

127675000640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127675000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168558667200).

127675000640 is an abundant number, since it is smaller than the sum of its proper divisors (209442333760).

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

127675000640 is a wasteful number, since it uses less digits than its factorization.

127675000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The spelling of 127675000640 in words is "one hundred twenty-seven billion, six hundred seventy-five million, six hundred forty", and thus it is an aban number.