66633711144 has 384 divisors, whose sum is σ = 233834428800. Its totient is φ = 15542876160.

The previous prime is 66633711091. The next prime is 66633711167. The reversal of 66633711144 is 44111733666.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 = 66633711096 and 66633711105.

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, 6216862 + ... + 6227570.

It is an arithmetic number, because the mean of its divisors is an integer number (608943825).

Almost surely, 2^66633711144 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 66633711144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116917214400).

66633711144 is an abundant number, since it is smaller than the sum of its proper divisors (167200717656).

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

66633711144 is a wasteful number, since it uses less digits than its factorization.

66633711144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10793 (or 10782 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

It can be divided in two parts, 66633 and 711144, that added together give a palindrome (777777).

The spelling of 66633711144 in words is "sixty-six billion, six hundred thirty-three million, seven hundred eleven thousand, one hundred forty-four".