47605736880 has 640 divisors, whose sum is σ = 183138278400. Its totient is φ = 11291664384.

The previous prime is 47605736879. The next prime is 47605736897. The reversal of 47605736880 is 8863750674.

47605736880 is a `hidden beast` number, since 4 + 7 + 6 + 0 + 573 + 68 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 107461939 + ... + 107462381.

It is an arithmetic number, because the mean of its divisors is an integer number (286153560).

Almost surely, 2^47605736880 is an apocalyptic number.

47605736880 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 47605736880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91569139200).

47605736880 is an abundant number, since it is smaller than the sum of its proper divisors (135532541520).

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

47605736880 is a wasteful number, since it uses less digits than its factorization.

47605736880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 598 counting only the distinct ones).

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

The spelling of 47605736880 in words is "forty-seven billion, six hundred five million, seven hundred thirty-six thousand, eight hundred eighty".