67066172082 has 192 divisors, whose sum is σ = 189612783360. Its totient is φ = 16625405952.

The previous prime is 67066172077. The next prime is 67066172093. The reversal of 67066172082 is 28027166076.

67066172082 is a `hidden beast` number, since 6 + 7 + 0 + 6 + 617 + 20 + 8 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35057158 + ... + 35059070.

It is an arithmetic number, because the mean of its divisors is an integer number (987566580).

Almost surely, 2^67066172082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67066172082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94806391680).

67066172082 is an abundant number, since it is smaller than the sum of its proper divisors (122546611278).

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

67066172082 is a wasteful number, since it uses less digits than its factorization.

67066172082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3217 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 67066172082 in words is "sixty-seven billion, sixty-six million, one hundred seventy-two thousand, eighty-two".