47775782208 has 224 divisors, whose sum is σ = 157797642240. Its totient is φ = 12393584640.

The previous prime is 47775782203. The next prime is 47775782237. The reversal of 47775782208 is 80228757774.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47775782203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15802585 + ... + 15805607.

It is an arithmetic number, because the mean of its divisors is an integer number (704453760).

Almost surely, 2^47775782208 is an apocalyptic number.

47775782208 is a gapful number since it is divisible by the number (48) 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 47775782208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78898821120).

47775782208 is an abundant number, since it is smaller than the sum of its proper divisors (110021860032).

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

47775782208 is a wasteful number, since it uses less digits than its factorization.

47775782208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4125 (or 4115 counting only the distinct ones).

The product of its (nonzero) digits is 12293120, while the sum is 57.

The spelling of 47775782208 in words is "forty-seven billion, seven hundred seventy-five million, seven hundred eighty-two thousand, two hundred eight".