66765377952 has 576 divisors, whose sum is σ = 244200821760. Its totient is φ = 17374196736.

The previous prime is 66765377929. The next prime is 66765377957. The reversal of 66765377952 is 25977356766.

66765377952 is a `hidden beast` number, since 6 + 6 + 7 + 6 + 537 + 7 + 95 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 66765377952.

It is not an unprimeable number, because it can be changed into a prime (66765377957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84834903 + ... + 84835689.

It is an arithmetic number, because the mean of its divisors is an integer number (423959760).

Almost surely, 2^66765377952 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 66765377952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122100410880).

66765377952 is an abundant number, since it is smaller than the sum of its proper divisors (177435443808).

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

66765377952 is a wasteful number, since it uses less digits than its factorization.

66765377952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 895 counting only the distinct ones).

The product of its digits is 100018800, while the sum is 63.

The spelling of 66765377952 in words is "sixty-six billion, seven hundred sixty-five million, three hundred seventy-seven thousand, nine hundred fifty-two".