66887877168 has 320 divisors, whose sum is σ = 227710981120. Its totient is φ = 18399633408.

The previous prime is 66887877163. The next prime is 66887877193. The reversal of 66887877168 is 86177878866.

It is a super-3 number, since 3×66887877168³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 66887877096 and 66887877105.

It is not an unprimeable number, because it can be changed into a prime (66887877163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10850055 + ... + 10856217.

It is an arithmetic number, because the mean of its divisors is an integer number (711596816).

Almost surely, 2^66887877168 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 66887877168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113855490560).

66887877168 is an abundant number, since it is smaller than the sum of its proper divisors (160823103952).

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

66887877168 is a wasteful number, since it uses less digits than its factorization.

66887877168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6321 (or 6309 counting only the distinct ones).

The product of its digits is 303464448, while the sum is 72.

The spelling of 66887877168 in words is "sixty-six billion, eight hundred eighty-seven million, eight hundred seventy-seven thousand, one hundred sixty-eight".