5638580640 has 1152 divisors, whose sum is σ = 26255093760. Its totient is φ = 1103984640.

The previous prime is 5638580611. The next prime is 5638580711. The reversal of 5638580640 is 460858365.

5638580640 is a `hidden beast` number, since 5 + 6 + 3 + 8 + 580 + 64 + 0 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 84157887 + ... + 84157953.

It is an arithmetic number, because the mean of its divisors is an integer number (22790880).

Almost surely, 2^5638580640 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 5638580640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13127546880).

5638580640 is an abundant number, since it is smaller than the sum of its proper divisors (20616513120).

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

5638580640 is a wasteful number, since it uses less digits than its factorization.

5638580640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 5638580640 is about 75090.4830188220. The cubic root of 5638580640 is about 1779.8767578688.

The spelling of 5638580640 in words is "five billion, six hundred thirty-eight million, five hundred eighty thousand, six hundred forty".