127377706680 has 640 divisors, whose sum is σ = 527102484480. Its totient is φ = 26947261440.

The previous prime is 127377706663. The next prime is 127377706717. The reversal of 127377706680 is 86607773721.

127377706680 is a `hidden beast` number, since 127 + 377 + 70 + 6 + 6 + 80 = 666.

It is a super-2 number, since 2×127377706680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 16166902 + ... + 16174778.

It is an arithmetic number, because the mean of its divisors is an integer number (823597632).

Almost surely, 2^127377706680 is an apocalyptic number.

127377706680 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 127377706680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263551242240).

127377706680 is an abundant number, since it is smaller than the sum of its proper divisors (399724777800).

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

127377706680 is a wasteful number, since it uses less digits than its factorization.

127377706680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7961 (or 7948 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 54.

The spelling of 127377706680 in words is "one hundred twenty-seven billion, three hundred seventy-seven million, seven hundred six thousand, six hundred eighty".