5633124840 has 384 divisors, whose sum is σ = 21565440000. Its totient is φ = 1248597504.

The previous prime is 5633124823. The next prime is 5633124859. The reversal of 5633124840 is 484213365.

5633124840 is a `hidden beast` number, since 5 + 633 + 12 + 4 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5633124795 and 5633124804.

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, 23569441 + ... + 23569679.

It is an arithmetic number, because the mean of its divisors is an integer number (56160000).

Almost surely, 2^5633124840 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 5633124840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10782720000).

5633124840 is an abundant number, since it is smaller than the sum of its proper divisors (15932315160).

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

5633124840 is a wasteful number, since it uses less digits than its factorization.

5633124840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5633124840 is about 75054.1460546984. The cubic root of 5633124840 is about 1779.3025125710.

The spelling of 5633124840 in words is "five billion, six hundred thirty-three million, one hundred twenty-four thousand, eight hundred forty".