47836857600 has 972 divisors, whose sum is σ = 210864683484. Its totient is φ = 10280632320.

The previous prime is 47836857539. The next prime is 47836857667. The reversal of 47836857600 is 675863874.

47836857600 is a `hidden beast` number, since 4 + 7 + 8 + 3 + 68 + 576 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2027160576 + 45809697024 = 45024^2 + 214032^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 47980302 + ... + 47981298.

Almost surely, 2^47836857600 is an apocalyptic number.

47836857600 is a gapful number since it is divisible by the number (40) 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 47836857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105432341742).

47836857600 is an abundant number, since it is smaller than the sum of its proper divisors (163027825884).

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

47836857600 is a wasteful number, since it uses less digits than its factorization.

47836857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 47836857600 in words is "forty-seven billion, eight hundred thirty-six million, eight hundred fifty-seven thousand, six hundred".