66984847776 has 768 divisors, whose sum is σ = 258660864000. Its totient is φ = 16338309120.

The previous prime is 66984847753. The next prime is 66984847781. The reversal of 66984847776 is 67774848966.

It is a happy number.

66984847776 is a `hidden beast` number, since 6 + 6 + 9 + 8 + 484 + 77 + 76 = 666.

66984847776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 249014170 + ... + 249014438.

It is an arithmetic number, because the mean of its divisors is an integer number (336798000).

Almost surely, 2^66984847776 is an apocalyptic number.

66984847776 is a gapful number since it is divisible by the number (66) 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 66984847776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129330432000).

66984847776 is an abundant number, since it is smaller than the sum of its proper divisors (191676016224).

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

66984847776 is a wasteful number, since it uses less digits than its factorization.

66984847776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 508 counting only the distinct ones).

The product of its digits is 682795008, while the sum is 72.

The spelling of 66984847776 in words is "sixty-six billion, nine hundred eighty-four million, eight hundred forty-seven thousand, seven hundred seventy-six".