66883428864 has 960 divisors, whose sum is σ = 247873063680. Its totient is φ = 17933819904.

The previous prime is 66883428839. The next prime is 66883428947. The reversal of 66883428864 is 46882438866.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1261951462 + ... + 1261951514.

It is an arithmetic number, because the mean of its divisors is an integer number (258201108).

Almost surely, 2^66883428864 is an apocalyptic number.

66883428864 is a gapful number since it is divisible by the number (64) 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 66883428864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123936531840).

66883428864 is an abundant number, since it is smaller than the sum of its proper divisors (180989634816).

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

66883428864 is an frugal number, since it uses more digits than its factorization.

66883428864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 88 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 63.

The spelling of 66883428864 in words is "sixty-six billion, eight hundred eighty-three million, four hundred twenty-eight thousand, eight hundred sixty-four".