5606643474432 has 2240 divisors, whose sum is σ = 23530823737344. Its totient is φ = 1282300968960.

The previous prime is 5606643474361. The next prime is 5606643474511. The reversal of 5606643474432 is 2344743466065.

5606643474432 is a `hidden beast` number, since 5 + 60 + 66 + 43 + 47 + 443 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 15276957513 + ... + 15276957879.

Almost surely, 2^{5606643474432} is an apocalyptic number.

5606643474432 is a gapful number since it is divisible by the number (52) 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 5606643474432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11765411868672).

5606643474432 is an abundant number, since it is smaller than the sum of its proper divisors (17924180262912).

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

5606643474432 is a wasteful number, since it uses less digits than its factorization.

5606643474432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 54.

The spelling of 5606643474432 in words is "five trillion, six hundred six billion, six hundred forty-three million, four hundred seventy-four thousand, four hundred thirty-two".