5613780407040 has 432 divisors, whose sum is σ = 21362252865408. Its totient is φ = 1352450801664.

The previous prime is 5613780407033. The next prime is 5613780407041. The reversal of 5613780407040 is 407040873165.

5613780407040 is a `hidden beast` number, since 561 + 3 + 7 + 8 + 0 + 40 + 7 + 0 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5613780407041) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6639942 + ... + 7437498.

Almost surely, 2^{5613780407040} 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 5613780407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10681126432704).

5613780407040 is an abundant number, since it is smaller than the sum of its proper divisors (15748472458368).

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

5613780407040 is a wasteful number, since it uses less digits than its factorization.

5613780407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797644 (or 797627 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 5613780407040 in words is "five trillion, six hundred thirteen billion, seven hundred eighty million, four hundred seven thousand, forty".