5605635672 has 384 divisors, whose sum is σ = 19718899200. Its totient is φ = 1462406400.

The previous prime is 5605635619. The next prime is 5605635691. The reversal of 5605635672 is 2765365065.

5605635672 is a `hidden beast` number, since 5 + 6 + 0 + 5 + 635 + 6 + 7 + 2 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 18024397 + ... + 18024707.

It is an arithmetic number, because the mean of its divisors is an integer number (51351300).

Almost surely, 2^5605635672 is an apocalyptic number.

5605635672 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 5605635672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9859449600).

5605635672 is an abundant number, since it is smaller than the sum of its proper divisors (14113263528).

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

5605635672 is a wasteful number, since it uses less digits than its factorization.

5605635672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The square root of 5605635672 is about 74870.7931839913. The cubic root of 5605635672 is about 1776.4035103966.

The spelling of 5605635672 in words is "five billion, six hundred five million, six hundred thirty-five thousand, six hundred seventy-two".