5639424000 has 384 divisors, whose sum is σ = 21464352000. Its totient is φ = 1287782400.

The previous prime is 5639423941. The next prime is 5639424041. The reversal of 5639424000 is 4249365.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5375476 + ... + 5376524.

It is an arithmetic number, because the mean of its divisors is an integer number (55896750).

Almost surely, 2^5639424000 is an apocalyptic number.

5639424000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5639424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10732176000).

5639424000 is an abundant number, since it is smaller than the sum of its proper divisors (15824928000).

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

5639424000 is a wasteful number, since it uses less digits than its factorization.

5639424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 5639424000 is about 75096.0984339400. The cubic root of 5639424000 is about 1779.9654919035.

The spelling of 5639424000 in words is "five billion, six hundred thirty-nine million, four hundred twenty-four thousand".