66776119379712 has 648 divisors, whose sum is σ = 213280784992912. Its totient is φ = 20832613171200.

The previous prime is 66776119379701. The next prime is 66776119379861. The reversal of 66776119379712 is 21797391167766.

66776119379712 is a `hidden beast` number, since 6 + 6 + 7 + 76 + 119 + 379 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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 71 ways as a sum of consecutive naturals, for example, 3254028012 + ... + 3254048532.

Almost surely, 2^{66776119379712} 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 66776119379712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106640392496456).

66776119379712 is an abundant number, since it is smaller than the sum of its proper divisors (146504665613200).

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

66776119379712 is a wasteful number, since it uses less digits than its factorization.

66776119379712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20767 (or 20724 counting only the distinct ones).

The product of its digits is 252047376, while the sum is 72.

The spelling of 66776119379712 in words is "sixty-six trillion, seven hundred seventy-six billion, one hundred nineteen million, three hundred seventy-nine thousand, seven hundred twelve".