47475709200 has 240 divisors, whose sum is σ = 169230716160. Its totient is φ = 12641287680.

The previous prime is 47475709139. The next prime is 47475709201. The reversal of 47475709200 is 290757474.

47475709200 is a `hidden beast` number, since 4 + 74 + 7 + 570 + 9 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (47475709201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8172697 + ... + 8178503.

It is an arithmetic number, because the mean of its divisors is an integer number (705127984).

Almost surely, 2^47475709200 is an apocalyptic number.

47475709200 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 47475709200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84615358080).

47475709200 is an abundant number, since it is smaller than the sum of its proper divisors (121755006960).

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

47475709200 is a wasteful number, since it uses less digits than its factorization.

47475709200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6591 (or 6574 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 47475709200 in words is "forty-seven billion, four hundred seventy-five million, seven hundred nine thousand, two hundred".