66466976754816 has 1536 divisors, whose sum is σ = 242313243264000. Its totient is φ = 17954423193600.

The previous prime is 66466976754781. The next prime is 66466976754817. The reversal of 66466976754816 is 61845767966466.

66466976754816 is a `hidden beast` number, since 6 + 6 + 4 + 6 + 6 + 9 + 7 + 67 + 548 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (66466976754817) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16908412371 + ... + 16908416301.

It is an arithmetic number, because the mean of its divisors is an integer number (157756017750).

Almost surely, 2^{66466976754816} is an apocalyptic number.

66466976754816 is a gapful number since it is divisible by the number (66) 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 66466976754816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121156621632000).

66466976754816 is an abundant number, since it is smaller than the sum of its proper divisors (175846266509184).

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

66466976754816 is a wasteful number, since it uses less digits than its factorization.

66466976754816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030 (or 3983 counting only the distinct ones).

The product of its digits is 13168189440, while the sum is 81.

The spelling of 66466976754816 in words is "sixty-six trillion, four hundred sixty-six billion, nine hundred seventy-six million, seven hundred fifty-four thousand, eight hundred sixteen".