47329666560 has 720 divisors, whose sum is σ = 184885251408. Its totient is φ = 11096064000.

The previous prime is 47329666541. The next prime is 47329666567. The reversal of 47329666560 is 6566692374.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 47329666497 and 47329666506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47329666567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 468610510 + ... + 468610610.

Almost surely, 2^47329666560 is an apocalyptic number.

47329666560 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 47329666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92442625704).

47329666560 is an abundant number, since it is smaller than the sum of its proper divisors (137555584848).

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

47329666560 is a wasteful number, since it uses less digits than its factorization.

47329666560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 47329666560 in words is "forty-seven billion, three hundred twenty-nine million, six hundred sixty-six thousand, five hundred sixty".