66000680064 has 256 divisors, whose sum is σ = 212839401600. Its totient is φ = 19968491520.

The previous prime is 66000680041. The next prime is 66000680071. The reversal of 66000680064 is 46008600066.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 37140744 + ... + 37142520.

Almost surely, 2^66000680064 is an apocalyptic number.

66000680064 is a gapful number since it is divisible by the number (64) 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 66000680064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106419700800).

66000680064 is an abundant number, since it is smaller than the sum of its proper divisors (146838721536).

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

66000680064 is a wasteful number, since it uses less digits than its factorization.

66000680064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 66000680064 in words is "sixty-six billion, six hundred eighty thousand, sixty-four".