5871640320 has 576 divisors, whose sum is σ = 25658250240. Its totient is φ = 1238188032.

The previous prime is 5871640267. The next prime is 5871640337. The reversal of 5871640320 is 230461785.

5871640320 is a `hidden beast` number, since 5 + 8 + 7 + 1 + 640 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3144027 + ... + 3145893.

Almost surely, 2^5871640320 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 5871640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12829125120).

5871640320 is an abundant number, since it is smaller than the sum of its proper divisors (19786609920).

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

5871640320 is a wasteful number, since it uses less digits than its factorization.

5871640320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5871640320 is about 76626.6293138358. The cubic root of 5871640320 is about 1804.0690170136.

The spelling of 5871640320 in words is "five billion, eight hundred seventy-one million, six hundred forty thousand, three hundred twenty".