47407810560 has 384 divisors, whose sum is σ = 166431283200. Its totient is φ = 11425218560.

The previous prime is 47407810507. The next prime is 47407810607. The reversal of 47407810560 is 6501870474.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 80762587 + ... + 80763173.

It is an arithmetic number, because the mean of its divisors is an integer number (433414800).

Almost surely, 2^47407810560 is an apocalyptic number.

47407810560 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 47407810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83215641600).

47407810560 is an abundant number, since it is smaller than the sum of its proper divisors (119023472640).

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

47407810560 is a wasteful number, since it uses less digits than its factorization.

47407810560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 47407810560 in words is "forty-seven billion, four hundred seven million, eight hundred ten thousand, five hundred sixty".