6871072320 has 448 divisors, whose sum is σ = 27996733440. Its totient is φ = 1553872896.

The previous prime is 6871072261. The next prime is 6871072343. The reversal of 6871072320 is 232701786.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6228889 + ... + 6229991.

Almost surely, 2^6871072320 is an apocalyptic number.

6871072320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6871072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13998366720).

6871072320 is an abundant number, since it is smaller than the sum of its proper divisors (21125661120).

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

6871072320 is a wasteful number, since it uses less digits than its factorization.

6871072320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 6871072320 is about 82891.9315735856. The cubic root of 6871072320 is about 1901.1140576369.

The spelling of 6871072320 in words is "six billion, eight hundred seventy-one million, seventy-two thousand, three hundred twenty".