5613936384 has 576 divisors, whose sum is σ = 19708738560. Its totient is φ = 1380188160.

The previous prime is 5613936353. The next prime is 5613936397. The reversal of 5613936384 is 4836393165.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1399680) is a multiple of the sum of its prime divisors (162).

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 63 ways as a sum of consecutive naturals, for example, 92031714 + ... + 92031774.

It is an arithmetic number, because the mean of its divisors is an integer number (34216560).

Almost surely, 2^5613936384 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 5613936384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9854369280).

5613936384 is an abundant number, since it is smaller than the sum of its proper divisors (14094802176).

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

5613936384 is a wasteful number, since it uses less digits than its factorization.

5613936384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 162 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 48.

The square root of 5613936384 is about 74926.2062565562. The cubic root of 5613936384 is about 1777.2798987637.

The spelling of 5613936384 in words is "five billion, six hundred thirteen million, nine hundred thirty-six thousand, three hundred eighty-four".