47045496960 has 576 divisors, whose sum is σ = 204095586240. Its totient is φ = 9774673920.

The previous prime is 47045496959. The next prime is 47045496977. The reversal of 47045496960 is 6969454074.

It is a happy number.

47045496960 is a `hidden beast` number, since 4 + 7 + 0 + 4 + 549 + 6 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 47045496897 and 47045496906.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4873899 + ... + 4883541.

It is an arithmetic number, because the mean of its divisors is an integer number (354332615).

Almost surely, 2^47045496960 is an apocalyptic number.

47045496960 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 47045496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102047793120).

47045496960 is an abundant number, since it is smaller than the sum of its proper divisors (157050089280).

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

47045496960 is a wasteful number, since it uses less digits than its factorization.

47045496960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9697 (or 9671 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 47045496960 in words is "forty-seven billion, forty-five million, four hundred ninety-six thousand, nine hundred sixty".