66027302400 has 240 divisors, whose sum is σ = 218556355248. Its totient is φ = 17571840000.

The previous prime is 66027302389. The next prime is 66027302431. The reversal of 66027302400 is 420372066.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 23076970 + ... + 23079830.

Almost surely, 2^66027302400 is an apocalyptic number.

66027302400 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 66027302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109278177624).

66027302400 is an abundant number, since it is smaller than the sum of its proper divisors (152529052848).

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

66027302400 is a wasteful number, since it uses less digits than its factorization.

66027302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

Adding to 66027302400 its reverse (420372066), we get a palindrome (66447674466).

The spelling of 66027302400 in words is "sixty-six billion, twenty-seven million, three hundred two thousand, four hundred".