47973834240 has 320 divisors, whose sum is σ = 165215711232. Its totient is φ = 11840716800.

The previous prime is 47973834229. The next prime is 47973834241. The reversal of 47973834240 is 4243837974.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47973834241) 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 31 ways as a sum of consecutive naturals, for example, 5471460 + ... + 5480220.

Almost surely, 2^47973834240 is an apocalyptic number.

47973834240 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 47973834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82607855616).

47973834240 is an abundant number, since it is smaller than the sum of its proper divisors (117241876992).

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

47973834240 is a wasteful number, since it uses less digits than its factorization.

47973834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8841 (or 8825 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 47973834240 in words is "forty-seven billion, nine hundred seventy-three million, eight hundred thirty-four thousand, two hundred forty".