47632082560 has 48 divisors (see below), whose sum is σ = 113883648210. Its totient is φ = 19050624512.

The previous prime is 47632082549. The next prime is 47632082569. The reversal of 47632082560 is 6528023674.

It can be written as a sum of positive squares in only one way, i.e., 42868874304 + 4763208256 = 207048^2 + 69016^2 .

It is a super-3 number, since 3×47632082560³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (47632082569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5516967 + ... + 5525593.

Almost surely, 2^47632082560 is an apocalyptic number.

47632082560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47632082560 is an abundant number, since it is smaller than the sum of its proper divisors (66251565650).

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

47632082560 is an frugal number, since it uses more digits than its factorization.

47632082560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17273 (or 8634 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 47632082560 in words is "forty-seven billion, six hundred thirty-two million, eighty-two thousand, five hundred sixty".