47438773200 has 1440 divisors, whose sum is σ = 216100454400. Its totient is φ = 9672099840.

The previous prime is 47438773189. The next prime is 47438773231. The reversal of 47438773200 is 237783474.

47438773200 is a `hidden beast` number, since 4 + 7 + 438 + 7 + 7 + 3 + 200 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 600490761 + ... + 600490839.

It is an arithmetic number, because the mean of its divisors is an integer number (150069760).

Almost surely, 2^47438773200 is an apocalyptic number.

47438773200 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 47438773200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108050227200).

47438773200 is an abundant number, since it is smaller than the sum of its proper divisors (168661681200).

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

47438773200 is a wasteful number, since it uses less digits than its factorization.

47438773200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 47438773200 in words is "forty-seven billion, four hundred thirty-eight million, seven hundred seventy-three thousand, two hundred".