5355440640 has 720 divisors, whose sum is σ = 21777059304. Its totient is φ = 1211105280.

The previous prime is 5355440627. The next prime is 5355440641. The reversal of 5355440640 is 460445535.

5355440640 is a `hidden beast` number, since 5 + 3 + 5 + 5 + 4 + 4 + 0 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3434897664 + 1920542976 = 58608^2 + 43824^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 = 5355440595 and 5355440604.

It is not an unprimeable number, because it can be changed into a prime (5355440641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47393224 + ... + 47393336.

Almost surely, 2^5355440640 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 5355440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10888529652).

5355440640 is an abundant number, since it is smaller than the sum of its proper divisors (16421618664).

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

5355440640 is a wasteful number, since it uses less digits than its factorization.

5355440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 5355440640 is about 73180.8761904365. The cubic root of 5355440640 is about 1749.5716655084.

The spelling of 5355440640 in words is "five billion, three hundred fifty-five million, four hundred forty thousand, six hundred forty".