47635338240 has 1188 divisors, whose sum is σ = 206755654716. Its totient is φ = 10107224064.

The previous prime is 47635338229. The next prime is 47635338269. The reversal of 47635338240 is 4283353674.

47635338240 is a `hidden beast` number, since 4 + 7 + 635 + 3 + 3 + 8 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3110962176 + 44524376064 = 55776^2 + 211008^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 652538844 + ... + 652538916.

Almost surely, 2^47635338240 is an apocalyptic number.

47635338240 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 47635338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103377827358).

47635338240 is an abundant number, since it is smaller than the sum of its proper divisors (159120316476).

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

47635338240 is a wasteful number, since it uses less digits than its factorization.

47635338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 47635338240 in words is "forty-seven billion, six hundred thirty-five million, three hundred thirty-eight thousand, two hundred forty".