5633905536 has 768 divisors, whose sum is σ = 21767616000. Its totient is φ = 1421328384.

The previous prime is 5633905513. The next prime is 5633905549. The reversal of 5633905536 is 6355093365.

5633905536 is a `hidden beast` number, since 5 + 6 + 3 + 3 + 90 + 553 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5633905491 and 5633905500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54698061 + ... + 54698163.

It is an arithmetic number, because the mean of its divisors is an integer number (28343250).

Almost surely, 2^5633905536 is an apocalyptic number.

5633905536 is a gapful number since it is divisible by the number (56) 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 5633905536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10883808000).

5633905536 is an abundant number, since it is smaller than the sum of its proper divisors (16133710464).

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

5633905536 is a wasteful number, since it uses less digits than its factorization.

5633905536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1093500, while the sum is 45.

The square root of 5633905536 is about 75059.3467597474. The cubic root of 5633905536 is about 1779.3847067484.

The spelling of 5633905536 in words is "five billion, six hundred thirty-three million, nine hundred five thousand, five hundred thirty-six".