66167831716776 has 192 divisors, whose sum is σ = 186216833088000. Its totient is φ = 21199838069760.

The previous prime is 66167831716771. The next prime is 66167831716787. The reversal of 66167831716776 is 67761713876166.

66167831716776 is a `hidden beast` number, since 6 + 6 + 16 + 78 + 317 + 167 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (66167831716771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 813241585 + ... + 813322943.

It is an arithmetic number, because the mean of its divisors is an integer number (969879339000).

Almost surely, 2^{66167831716776} 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 66167831716776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93108416544000).

66167831716776 is an abundant number, since it is smaller than the sum of its proper divisors (120049001371224).

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

66167831716776 is a wasteful number, since it uses less digits than its factorization.

66167831716776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83144 (or 83137 counting only the distinct ones).

The product of its digits is 448084224, while the sum is 72.

The spelling of 66167831716776 in words is "sixty-six trillion, one hundred sixty-seven billion, eight hundred thirty-one million, seven hundred sixteen thousand, seven hundred seventy-six".