47561754240 has 1536 divisors, whose sum is σ = 225512501760. Its totient is φ = 8918138880.

The previous prime is 47561754203. The next prime is 47561754241. The reversal of 47561754240 is 4245716574.

47561754240 is a `hidden beast` number, since 4 + 7 + 5 + 61 + 7 + 542 + 40 = 666.

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 (47561754241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 420900424 + ... + 420900536.

It is an arithmetic number, because the mean of its divisors is an integer number (146818035).

Almost surely, 2^47561754240 is an apocalyptic number.

47561754240 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 47561754240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112756250880).

47561754240 is an abundant number, since it is smaller than the sum of its proper divisors (177950747520).

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

47561754240 is a wasteful number, since it uses less digits than its factorization.

47561754240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 47561754240 in words is "forty-seven billion, five hundred sixty-one million, seven hundred fifty-four thousand, two hundred forty".