47705898240 has 1728 divisors, whose sum is σ = 232531326720. Its totient is φ = 9103933440.

The previous prime is 47705898209. The next prime is 47705898277. The reversal of 47705898240 is 4289850774.

It is a happy number.

47705898240 is a `hidden beast` number, since 477 + 0 + 58 + 9 + 82 + 40 = 666.

47705898240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 242161822 + ... + 242162018.

It is an arithmetic number, because the mean of its divisors is an integer number (134566740).

Almost surely, 2^47705898240 is an apocalyptic number.

47705898240 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 47705898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116265663360).

47705898240 is an abundant number, since it is smaller than the sum of its proper divisors (184825428480).

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

47705898240 is a wasteful number, since it uses less digits than its factorization.

47705898240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 47705898240 in words is "forty-seven billion, seven hundred five million, eight hundred ninety-eight thousand, two hundred forty".