66331879488 has 1008 divisors, whose sum is σ = 254966175360. Its totient is φ = 16044687360.

The previous prime is 66331879483. The next prime is 66331879489. The reversal of 66331879488 is 88497813366.

66331879488 is a `hidden beast` number, since 66 + 331 + 87 + 94 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66331879483) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1251544870 + ... + 1251544922.

Almost surely, 2^66331879488 is an apocalyptic number.

66331879488 is a gapful number since it is divisible by the number (68) 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 66331879488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127483087680).

66331879488 is an abundant number, since it is smaller than the sum of its proper divisors (188634295872).

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

66331879488 is a wasteful number, since it uses less digits than its factorization.

66331879488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 132 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 66331879488 in words is "sixty-six billion, three hundred thirty-one million, eight hundred seventy-nine thousand, four hundred eighty-eight".