5671337760 has 360 divisors, whose sum is σ = 21367791900. Its totient is φ = 1369758720.

The previous prime is 5671337753. The next prime is 5671337773. The reversal of 5671337760 is 677331765.

It is a happy number.

5671337760 is a `hidden beast` number, since 567 + 13 + 3 + 7 + 76 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5062037904 + 609299856 = 71148^2 + 24684^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 21082906 + ... + 21083174.

Almost surely, 2^5671337760 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 5671337760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10683895950).

5671337760 is an abundant number, since it is smaller than the sum of its proper divisors (15696454140).

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

5671337760 is a wasteful number, since it uses less digits than its factorization.

5671337760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 45.

The square root of 5671337760 is about 75308.2848032008. The cubic root of 5671337760 is about 1783.3168136201.

The spelling of 5671337760 in words is "five billion, six hundred seventy-one million, three hundred thirty-seven thousand, seven hundred sixty".