5638319280 has 840 divisors, whose sum is σ = 23361379776. Its totient is φ = 1259089920.

The previous prime is 5638319261. The next prime is 5638319317. The reversal of 5638319280 is 829138365.

It is a happy number.

5638319280 is a `hidden beast` number, since 5 + 6 + 383 + 192 + 80 = 666.

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

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 167 ways as a sum of consecutive naturals, for example, 119964217 + ... + 119964263.

Almost surely, 2^5638319280 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 5638319280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11680689888).

5638319280 is an abundant number, since it is smaller than the sum of its proper divisors (17723060496).

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

5638319280 is a wasteful number, since it uses less digits than its factorization.

5638319280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 5638319280 is about 75088.7426982234. The cubic root of 5638319280 is about 1779.8492571077.

The spelling of 5638319280 in words is "five billion, six hundred thirty-eight million, three hundred nineteen thousand, two hundred eighty".