127938695640 has 512 divisors, whose sum is σ = 483840000000. Its totient is φ = 26402568192.

The previous prime is 127938695627. The next prime is 127938695681. The reversal of 127938695640 is 46596839721.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36562611 + ... + 36566109.

It is an arithmetic number, because the mean of its divisors is an integer number (945000000).

It is a 1-persistent number, because it is pandigital, but 2⋅127938695640 = 255877391280 is not.

Almost surely, 2^127938695640 is an apocalyptic number.

127938695640 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 127938695640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241920000000).

127938695640 is an abundant number, since it is smaller than the sum of its proper divisors (355901304360).

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

127938695640 is a wasteful number, since it uses less digits than its factorization.

127938695640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3647 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 127938695640 in words is "one hundred twenty-seven billion, nine hundred thirty-eight million, six hundred ninety-five thousand, six hundred forty".