5635381248 has 480 divisors, whose sum is σ = 20168628480. Its totient is φ = 1532805120.

The previous prime is 5635381207. The next prime is 5635381253. The reversal of 5635381248 is 8421835365.

5635381248 is a `hidden beast` number, since 5 + 63 + 538 + 12 + 48 = 666.

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 39 ways as a sum of consecutive naturals, for example, 26707863 + ... + 26708073.

It is an arithmetic number, because the mean of its divisors is an integer number (42017976).

Almost surely, 2^5635381248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5635381248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10084314240).

5635381248 is an abundant number, since it is smaller than the sum of its proper divisors (14533247232).

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

5635381248 is a wasteful number, since it uses less digits than its factorization.

5635381248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 246 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 5635381248 is about 75069.1764174884. The cubic root of 5635381248 is about 1779.5400536987.

The spelling of 5635381248 in words is "five billion, six hundred thirty-five million, three hundred eighty-one thousand, two hundred forty-eight".