5641662240 has 144 divisors (see below), whose sum is σ = 19315223928. Its totient is φ = 1499516928.

The previous prime is 5641662239. The next prime is 5641662251. The reversal of 5641662240 is 422661465.

5641662240 is a `hidden beast` number, since 5 + 641 + 6 + 6 + 2 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4104708624 + 1536953616 = 64068^2 + 39204^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 5641662195 and 5641662204.

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 23 ways as a sum of consecutive naturals, for example, 444462 + ... + 456978.

Almost surely, 2^5641662240 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 5641662240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9657611964).

5641662240 is an abundant number, since it is smaller than the sum of its proper divisors (13673561688).

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

5641662240 is a wasteful number, since it uses less digits than its factorization.

5641662240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12851 (or 12840 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5641662240 is about 75110.9994607980. Note that the first 3 decimals coincide. The cubic root of 5641662240 is about 1780.2009452056.

The spelling of 5641662240 in words is "five billion, six hundred forty-one million, six hundred sixty-two thousand, two hundred forty".