66200406720 has 224 divisors, whose sum is σ = 240743036928. Its totient is φ = 15098130432.

The previous prime is 66200406683. The next prime is 66200406731. The reversal of 66200406720 is 2760400266.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×66200406720³ (a number of 33 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 3100722 + ... + 3121998.

Almost surely, 2^66200406720 is an apocalyptic number.

66200406720 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 66200406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120371518464).

66200406720 is an abundant number, since it is smaller than the sum of its proper divisors (174542630208).

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

66200406720 is a wasteful number, since it uses less digits than its factorization.

66200406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21767 (or 21757 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

Adding to 66200406720 its reverse (2760400266), we get a palindrome (68960806986).

The spelling of 66200406720 in words is "sixty-six billion, two hundred million, four hundred six thousand, seven hundred twenty".