127607119640 has 256 divisors, whose sum is σ = 386040453120. Its totient is φ = 36662538240.

The previous prime is 127607119639. The next prime is 127607119751. The reversal of 127607119640 is 46911706721.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 127607119591 and 127607119600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35513684 + ... + 35517276.

It is an arithmetic number, because the mean of its divisors is an integer number (1507970520).

Almost surely, 2^127607119640 is an apocalyptic number.

127607119640 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 127607119640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193020226560).

127607119640 is an abundant number, since it is smaller than the sum of its proper divisors (258433333480).

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

127607119640 is a wasteful number, since it uses less digits than its factorization.

127607119640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4522 (or 4518 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 44.

The spelling of 127607119640 in words is "one hundred twenty-seven billion, six hundred seven million, one hundred nineteen thousand, six hundred forty".