47561286240 has 768 divisors, whose sum is σ = 196059709440. Its totient is φ = 10656645120.

The previous prime is 47561286239. The next prime is 47561286247. The reversal of 47561286240 is 4268216574.

47561286240 is a `hidden beast` number, since 4 + 7 + 5 + 6 + 12 + 8 + 624 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47561286247) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 29595517 + ... + 29597123.

It is an arithmetic number, because the mean of its divisors is an integer number (255286080).

Almost surely, 2^47561286240 is an apocalyptic number.

47561286240 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 47561286240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98029854720).

47561286240 is an abundant number, since it is smaller than the sum of its proper divisors (148498423200).

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

47561286240 is a wasteful number, since it uses less digits than its factorization.

47561286240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 47561286240 in words is "forty-seven billion, five hundred sixty-one million, two hundred eighty-six thousand, two hundred forty".