66214022400 has 432 divisors, whose sum is σ = 245020984320. Its totient is φ = 17495654400.

The previous prime is 66214022377. The next prime is 66214022467. The reversal of 66214022400 is 422041266.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 19524705 + ... + 19528095.

Almost surely, 2^66214022400 is an apocalyptic number.

66214022400 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 66214022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122510492160).

66214022400 is an abundant number, since it is smaller than the sum of its proper divisors (178806961920).

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

66214022400 is a wasteful number, since it uses less digits than its factorization.

66214022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 66214022400 its reverse (422041266), we get a palindrome (66636063666).

The spelling of 66214022400 in words is "sixty-six billion, two hundred fourteen million, twenty-two thousand, four hundred".