5614384640 has 320 divisors, whose sum is σ = 15273308160. Its totient is φ = 1968046080.

The previous prime is 5614384639. The next prime is 5614384661. The reversal of 5614384640 is 464834165.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71068121 + ... + 71068199.

It is an arithmetic number, because the mean of its divisors is an integer number (47729088).

Almost surely, 2^5614384640 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 5614384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7636654080).

5614384640 is an abundant number, since it is smaller than the sum of its proper divisors (9658923520).

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

5614384640 is a wasteful number, since it uses less digits than its factorization.

5614384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The square root of 5614384640 is about 74929.1975133859. The cubic root of 5614384640 is about 1777.3272009964.

The spelling of 5614384640 in words is "five billion, six hundred fourteen million, three hundred eighty-four thousand, six hundred forty".