127672796160 has 1760 divisors, whose sum is σ = 599204390400. Its totient is φ = 25225592832.

The previous prime is 127672796081. The next prime is 127672796161. The reversal of 127672796160 is 61697276721.

127672796160 is a `hidden beast` number, since 12 + 7 + 6 + 7 + 2 + 7 + 9 + 616 + 0 = 666.

It is a super-3 number, since 3×127672796160³ (a number of 34 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 127672796097 and 127672796106.

It is not an unprimeable number, because it can be changed into a prime (127672796161) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 641571741 + ... + 641571939.

It is an arithmetic number, because the mean of its divisors is an integer number (340457040).

Almost surely, 2^127672796160 is an apocalyptic number.

127672796160 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 127672796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299602195200).

127672796160 is an abundant number, since it is smaller than the sum of its proper divisors (471531594240).

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

127672796160 is a wasteful number, since it uses less digits than its factorization.

127672796160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 127672796160 in words is "one hundred twenty-seven billion, six hundred seventy-two million, seven hundred ninety-six thousand, one hundred sixty".