66382804800 has 1260 divisors, whose sum is σ = 278148908268. Its totient is φ = 15427584000.

The previous prime is 66382804771. The next prime is 66382804819. The reversal of 66382804800 is 840828366.

It is a happy number.

66382804800 is a `hidden beast` number, since 6 + 638 + 2 + 8 + 0 + 4 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 22363407936 + 44019396864 = 149544^2 + 209808^2 .

It is a super-2 number, since 2×66382804800² (a number of 22 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1619092780 + ... + 1619092820.

Almost surely, 2^66382804800 is an apocalyptic number.

66382804800 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 66382804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139074454134).

66382804800 is an abundant number, since it is smaller than the sum of its proper divisors (211766103468).

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

66382804800 is a wasteful number, since it uses less digits than its factorization.

66382804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 66382804800 in words is "sixty-six billion, three hundred eighty-two million, eight hundred four thousand, eight hundred".