66605616000 has 768 divisors, whose sum is σ = 298269803520. Its totient is φ = 13837824000.

The previous prime is 66605615939. The next prime is 66605616013. The reversal of 66605616000 is 61650666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11084997 + ... + 11091003.

It is an arithmetic number, because the mean of its divisors is an integer number (388372140).

Almost surely, 2^66605616000 is an apocalyptic number.

66605616000 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 66605616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149134901760).

66605616000 is an abundant number, since it is smaller than the sum of its proper divisors (231664187520).

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

66605616000 is a wasteful number, since it uses less digits than its factorization.

66605616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6060 (or 6035 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 66605616000 in words is "sixty-six billion, six hundred five million, six hundred sixteen thousand".