66774131424 has 1152 divisors, whose sum is σ = 270781056000. Its totient is φ = 15362887680.

The previous prime is 66774131399. The next prime is 66774131429. The reversal of 66774131424 is 42413147766.

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

It is a self number, because there is not a number n which added to its sum of digits gives 66774131424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66774131429) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 409657167 + ... + 409657329.

It is an arithmetic number, because the mean of its divisors is an integer number (235053000).

Almost surely, 2^66774131424 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 66774131424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135390528000).

66774131424 is an abundant number, since it is smaller than the sum of its proper divisors (204006924576).

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

66774131424 is a wasteful number, since it uses less digits than its factorization.

66774131424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 228 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 66774131424 in words is "sixty-six billion, seven hundred seventy-four million, one hundred thirty-one thousand, four hundred twenty-four".