66853776960 has 336 divisors, whose sum is σ = 242784172800. Its totient is φ = 16838295552.

The previous prime is 66853776947. The next prime is 66853776961. The reversal of 66853776960 is 6967735866.

66853776960 is a `hidden beast` number, since 6 + 6 + 8 + 537 + 7 + 6 + 96 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (66853776961) 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 47 ways as a sum of consecutive naturals, for example, 20080576 + ... + 20083904.

Almost surely, 2^66853776960 is an apocalyptic number.

66853776960 is a gapful number since it is divisible by the number (60) 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 66853776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121392086400).

66853776960 is an abundant number, since it is smaller than the sum of its proper divisors (175930395840).

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

66853776960 is a wasteful number, since it uses less digits than its factorization.

66853776960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 66853776960 in words is "sixty-six billion, eight hundred fifty-three million, seven hundred seventy-six thousand, nine hundred sixty".