66386822400 has 1080 divisors, whose sum is σ = 269389257984. Its totient is φ = 16124313600.

The previous prime is 66386822393. The next prime is 66386822443. The reversal of 66386822400 is 422868366.

66386822400 is a `hidden beast` number, since 6 + 638 + 6 + 8 + 2 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2141510385 + ... + 2141510415.

Almost surely, 2^66386822400 is an apocalyptic number.

66386822400 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 66386822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134694628992).

66386822400 is an abundant number, since it is smaller than the sum of its proper divisors (203002435584).

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

66386822400 is an frugal number, since it uses more digits than its factorization.

66386822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 66386822400 in words is "sixty-six billion, three hundred eighty-six million, eight hundred twenty-two thousand, four hundred".