47332546560 has 576 divisors, whose sum is σ = 182370333600. Its totient is φ = 11639586816.

The previous prime is 47332546553. The next prime is 47332546589. The reversal of 47332546560 is 6564523374.

47332546560 is a `hidden beast` number, since 4 + 7 + 3 + 32 + 54 + 6 + 560 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 46724614 + ... + 46725626.

Almost surely, 2^47332546560 is an apocalyptic number.

47332546560 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 47332546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91185166800).

47332546560 is an abundant number, since it is smaller than the sum of its proper divisors (135037787040).

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

47332546560 is a wasteful number, since it uses less digits than its factorization.

47332546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 47332546560 in words is "forty-seven billion, three hundred thirty-two million, five hundred forty-six thousand, five hundred sixty".