66224995200 has 768 divisors, whose sum is σ = 298330905600. Its totient is φ = 13971087360.

The previous prime is 66224995163. The next prime is 66224995211. The reversal of 66224995200 is 259942266.

66224995200 is a `hidden beast` number, since 66 + 22 + 49 + 9 + 520 + 0 = 666.

66224995200 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7858189 + ... + 7866611.

It is an arithmetic number, because the mean of its divisors is an integer number (388451700).

Almost surely, 2^66224995200 is an apocalyptic number.

66224995200 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 66224995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149165452800).

66224995200 is an abundant number, since it is smaller than the sum of its proper divisors (232105910400).

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

66224995200 is a wasteful number, since it uses less digits than its factorization.

66224995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8476 (or 8453 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 66224995200 in words is "sixty-six billion, two hundred twenty-four million, nine hundred ninety-five thousand, two hundred".