47911743360 has 576 divisors, whose sum is σ = 181614953520. Its totient is φ = 11631919104.

The previous prime is 47911743353. The next prime is 47911743361. The reversal of 47911743360 is 6334711974.

47911743360 is a `hidden beast` number, since 47 + 9 + 117 + 433 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (47911743361) 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 71 ways as a sum of consecutive naturals, for example, 80795224 + ... + 80795816.

Almost surely, 2^47911743360 is an apocalyptic number.

47911743360 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 47911743360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90807476760).

47911743360 is an abundant number, since it is smaller than the sum of its proper divisors (133703210160).

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

47911743360 is a wasteful number, since it uses less digits than its factorization.

47911743360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 47911743360 in words is "forty-seven billion, nine hundred eleven million, seven hundred forty-three thousand, three hundred sixty".