66678163200 has 810 divisors, whose sum is σ = 271244682632. Its totient is φ = 16149196800.

The previous prime is 66678163193. The next prime is 66678163213. The reversal of 66678163200 is 236187666.

It is a tau number, because it is divible by the number of its divisors (810).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 62725869 + ... + 62726931.

Almost surely, 2^66678163200 is an apocalyptic number.

66678163200 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 66678163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135622341316).

66678163200 is an abundant number, since it is smaller than the sum of its proper divisors (204566519432).

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

66678163200 is a wasteful number, since it uses less digits than its factorization.

66678163200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 66678163200 in words is "sixty-six billion, six hundred seventy-eight million, one hundred sixty-three thousand, two hundred".