66484800 has 336 divisors, whose sum is σ = 258267200. Its totient is φ = 16796160.

The previous prime is 66484729. The next prime is 66484811. The reversal of 66484800 is 848466.

66484800 is a `hidden beast` number, since 6 + 648 + 4 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3499191 + ... + 3499209.

Almost surely, 2^66484800 is an apocalyptic number.

66484800 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 66484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129133600).

66484800 is an abundant number, since it is smaller than the sum of its proper divisors (191782400).

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

66484800 is an equidigital number, since it uses as much as digits as its factorization.

66484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 29 counting only the distinct ones).

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

The square root of 66484800 is about 8153.8211900924. The cubic root of 66484800 is about 405.1110806419. Note that the first 3 decimals are identical.

The spelling of 66484800 in words is "sixty-six million, four hundred eighty-four thousand, eight hundred".