5638006080 has 448 divisors, whose sum is σ = 23060436480. Its totient is φ = 1270038528.

The previous prime is 5638006061. The next prime is 5638006117. The reversal of 5638006080 is 806008365.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×5638006080² = 63574225116233932800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4414402 + ... + 4415678.

Almost surely, 2^5638006080 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 5638006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11530218240).

5638006080 is an abundant number, since it is smaller than the sum of its proper divisors (17422430400).

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

5638006080 is a wasteful number, since it uses less digits than its factorization.

5638006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5638006080 is about 75086.6571369375. The cubic root of 5638006080 is about 1779.8163005308.

The spelling of 5638006080 in words is "five billion, six hundred thirty-eight million, six thousand, eighty".