66176386484832 has 768 divisors, whose sum is σ = 226180723507200. Its totient is φ = 18641505576960.

The previous prime is 66176386484771. The next prime is 66176386484861. The reversal of 66176386484832 is 23848468367166.

It is a happy number.

66176386484832 is a `hidden beast` number, since 6 + 6 + 1 + 7 + 63 + 8 + 6 + 484 + 83 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4915419733 + ... + 4915433195.

It is an arithmetic number, because the mean of its divisors is an integer number (294506150400).

Almost surely, 2^{66176386484832} is an apocalyptic number.

66176386484832 is a gapful number since it is divisible by the number (62) 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 66176386484832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113090361753600).

66176386484832 is an abundant number, since it is smaller than the sum of its proper divisors (160004337022368).

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

66176386484832 is a wasteful number, since it uses less digits than its factorization.

66176386484832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14288 (or 14274 counting only the distinct ones).

The product of its digits is 1337720832, while the sum is 72.

The spelling of 66176386484832 in words is "sixty-six trillion, one hundred seventy-six billion, three hundred eighty-six million, four hundred eighty-four thousand, eight hundred thirty-two".