67127132160 has 960 divisors, whose sum is σ = 271782604800. Its totient is φ = 15571353600.

The previous prime is 67127132143. The next prime is 67127132203. The reversal of 67127132160 is 6123172176.

It is a happy number.

67127132160 is a `hidden beast` number, since 6 + 7 + 1 + 271 + 321 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×67127132160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 754237396 + ... + 754237484.

It is an arithmetic number, because the mean of its divisors is an integer number (283106880).

Almost surely, 2^67127132160 is an apocalyptic number.

67127132160 is a gapful number since it is divisible by the number (60) 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 67127132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135891302400).

67127132160 is an abundant number, since it is smaller than the sum of its proper divisors (204655472640).

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

67127132160 is a wasteful number, since it uses less digits than its factorization.

67127132160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 67127132160 in words is "sixty-seven billion, one hundred twenty-seven million, one hundred thirty-two thousand, one hundred sixty".