47716033600 has 189 divisors, whose sum is σ = 121159210437. Its totient is φ = 18495751680.

The previous prime is 47716033597. The next prime is 47716033609. The reversal of 47716033600 is 633061774.

The square root of 47716033600 is 218440.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17177772096 + 30538261504 = 131064^2 + 174752^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 47716033600.

It is not an unprimeable number, because it can be changed into a prime (47716033609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 375716737 + ... + 375716863.

Almost surely, 2^47716033600 is an apocalyptic number.

47716033600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

47716033600 is the 218440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47716033600

47716033600 is an abundant number, since it is smaller than the sum of its proper divisors (73443176837).

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

47716033600 is an equidigital number, since it uses as much as digits as its factorization.

47716033600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 37.

The spelling of 47716033600 in words is "forty-seven billion, seven hundred sixteen million, thirty-three thousand, six hundred".