67166881760 has 192 divisors, whose sum is σ = 184105716480. Its totient is φ = 22899179520.

The previous prime is 67166881757. The next prime is 67166881811. The reversal of 67166881760 is 6718866176.

It is a super-2 number, since 2×67166881760² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 67166881696 and 67166881705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3233327 + ... + 3254033.

It is an arithmetic number, because the mean of its divisors is an integer number (958883940).

Almost surely, 2^67166881760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67166881760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92052858240).

67166881760 is an abundant number, since it is smaller than the sum of its proper divisors (116938834720).

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

67166881760 is a wasteful number, since it uses less digits than its factorization.

67166881760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20849 (or 20841 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 56.

The spelling of 67166881760 in words is "sixty-seven billion, one hundred sixty-six million, eight hundred eighty-one thousand, seven hundred sixty".