5636624928480 has 2304 divisors, whose sum is σ = 26037249638400. Its totient is φ = 1118221148160.

The previous prime is 5636624928421. The next prime is 5636624928491. The reversal of 5636624928480 is 848294266365.

It is a happy number.

5636624928480 is a `hidden beast` number, since 5 + 6 + 3 + 6 + 62 + 4 + 92 + 8 + 480 = 666.

It is a super-2 number, since 2×5636624928480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12839692101 + ... + 12839692539.

It is an arithmetic number, because the mean of its divisors is an integer number (11300889600).

Almost surely, 2^{5636624928480} 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 5636624928480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13018624819200).

5636624928480 is an abundant number, since it is smaller than the sum of its proper divisors (20400624709920).

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

5636624928480 is a wasteful number, since it uses less digits than its factorization.

5636624928480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 5636624928480 in words is "five trillion, six hundred thirty-six billion, six hundred twenty-four million, nine hundred twenty-eight thousand, four hundred eighty".