5632408184760 has 384 divisors, whose sum is σ = 22030467264000. Its totient is φ = 1219149646848.

The previous prime is 5632408184731. The next prime is 5632408184761. The reversal of 5632408184760 is 674818042365.

It is a happy number.

5632408184760 is a `hidden beast` number, since 56 + 3 + 2 + 40 + 81 + 8 + 476 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5632408184697 and 5632408184706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5632408184761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123459714 + ... + 123505326.

It is an arithmetic number, because the mean of its divisors is an integer number (57371008500).

Almost surely, 2^{5632408184760} 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 5632408184760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11015233632000).

5632408184760 is an abundant number, since it is smaller than the sum of its proper divisors (16398059079240).

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

5632408184760 is a wasteful number, since it uses less digits than its factorization.

5632408184760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48235 (or 48228 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 5632408184760 in words is "five trillion, six hundred thirty-two billion, four hundred eight million, one hundred eighty-four thousand, seven hundred sixty".