66422008800 has 1296 divisors, whose sum is σ = 298233411840. Its totient is φ = 14343920640.

The previous prime is 66422008747. The next prime is 66422008811. The reversal of 66422008800 is 880022466.

66422008800 is a `hidden beast` number, since 6 + 642 + 2 + 0 + 0 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 180986217 + ... + 180986583.

Almost surely, 2^66422008800 is an apocalyptic number.

66422008800 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 66422008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149116705920).

66422008800 is an abundant number, since it is smaller than the sum of its proper divisors (231811403040).

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

66422008800 is a wasteful number, since it uses less digits than its factorization.

66422008800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 66422008800 in words is "sixty-six billion, four hundred twenty-two million, eight thousand, eight hundred".