66224692800 has 588 divisors, whose sum is σ = 279256638336. Its totient is φ = 15135206400.

The previous prime is 66224692783. The next prime is 66224692811. The reversal of 66224692800 is 829642266.

66224692800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 8160745 + ... + 8168855.

Almost surely, 2^66224692800 is an apocalyptic number.

66224692800 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 66224692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139628319168).

66224692800 is an abundant number, since it is smaller than the sum of its proper divisors (213031945536).

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

66224692800 is an equidigital number, since it uses as much as digits as its factorization.

66224692800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8158 (or 8128 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 66224692800 in words is "sixty-six billion, two hundred twenty-four million, six hundred ninety-two thousand, eight hundred".