47808764160 has 288 divisors, whose sum is σ = 160848737280. Its totient is φ = 12078342144.

The previous prime is 47808764141. The next prime is 47808764167. The reversal of 47808764160 is 6146780874.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (47808764167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9447711 + ... + 9452769.

It is an arithmetic number, because the mean of its divisors is an integer number (558502560).

Almost surely, 2^47808764160 is an apocalyptic number.

47808764160 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 47808764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80424368640).

47808764160 is an abundant number, since it is smaller than the sum of its proper divisors (113039973120).

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

47808764160 is a wasteful number, since it uses less digits than its factorization.

47808764160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5213 (or 5199 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 47808764160 in words is "forty-seven billion, eight hundred eight million, seven hundred sixty-four thousand, one hundred sixty".