47442057264 has 320 divisors, whose sum is σ = 161311580160. Its totient is φ = 13063680000.

The previous prime is 47442057259. The next prime is 47442057283. The reversal of 47442057264 is 46275024474.

47442057264 is a `hidden beast` number, since 4 + 74 + 4 + 2 + 0 + 572 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26341164 + ... + 26342964.

It is an arithmetic number, because the mean of its divisors is an integer number (504098688).

Almost surely, 2^47442057264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47442057264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80655790080).

47442057264 is an abundant number, since it is smaller than the sum of its proper divisors (113869522896).

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

47442057264 is a wasteful number, since it uses less digits than its factorization.

47442057264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 45.

The spelling of 47442057264 in words is "forty-seven billion, four hundred forty-two million, fifty-seven thousand, two hundred sixty-four".