5633527680 has 576 divisors, whose sum is σ = 21903663600. Its totient is φ = 1332756480.

The previous prime is 5633527657. The next prime is 5633527681. The reversal of 5633527680 is 867253365.

5633527680 is a `hidden beast` number, since 5 + 63 + 3 + 527 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5633527681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41120572 + ... + 41120708.

Almost surely, 2^5633527680 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 5633527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10951831800).

5633527680 is an abundant number, since it is smaller than the sum of its proper divisors (16270135920).

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

5633527680 is a wasteful number, since it uses less digits than its factorization.

5633527680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 5633527680 is about 75056.8296692579. The cubic root of 5633527680 is about 1779.3449258057.

The spelling of 5633527680 in words is "five billion, six hundred thirty-three million, five hundred twenty-seven thousand, six hundred eighty".