5408271648 has 144 divisors (see below), whose sum is σ = 17010911736. Its totient is φ = 1619066880.

The previous prime is 5408271641. The next prime is 5408271653. The reversal of 5408271648 is 8461728045.

It can be written as a sum of positive squares in 4 ways, for example, as 5359996944 + 48274704 = 73212^2 + 6948^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5408271641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119008 + ... + 158048.

Almost surely, 2^5408271648 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 5408271648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8505455868).

5408271648 is an abundant number, since it is smaller than the sum of its proper divisors (11602640088).

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

5408271648 is a wasteful number, since it uses less digits than its factorization.

5408271648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39107 (or 39096 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 5408271648 is about 73540.9521831204. The cubic root of 5408271648 is about 1755.3059802049.

The spelling of 5408271648 in words is "five billion, four hundred eight million, two hundred seventy-one thousand, six hundred forty-eight".