5613380720640 has 4608 divisors, whose sum is σ = 28259352576000. Its totient is φ = 993735475200.

The previous prime is 5613380720509. The next prime is 5613380720767. The reversal of 5613380720640 is 460270833165.

5613380720640 is a `hidden beast` number, since 5 + 61 + 3 + 380 + 7 + 206 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×5613380720640² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 71055452121 + ... + 71055452199.

It is an arithmetic number, because the mean of its divisors is an integer number (6132672000).

Almost surely, 2^{5613380720640} 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 5613380720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14129676288000).

5613380720640 is an abundant number, since it is smaller than the sum of its proper divisors (22645971855360).

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

5613380720640 is a wasteful number, since it uses less digits than its factorization.

5613380720640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 5613380720640 in words is "five trillion, six hundred thirteen billion, three hundred eighty million, seven hundred twenty thousand, six hundred forty".