6871449600 has 324 divisors, whose sum is σ = 24720609186. Its totient is φ = 1824522240.

The previous prime is 6871449577. The next prime is 6871449619. The reversal of 6871449600 is 69441786.

It can be written as a sum of positive squares in 3 ways, for example, as 4063297536 + 2808152064 = 63744^2 + 52992^2 .

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 17 ways as a sum of consecutive naturals, for example, 29491084 + ... + 29491316.

Almost surely, 2^6871449600 is an apocalyptic number.

6871449600 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 6871449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12360304593).

6871449600 is an abundant number, since it is smaller than the sum of its proper divisors (17849159586).

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

6871449600 is an equidigital number, since it uses as much as digits as its factorization.

6871449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6871449600 is about 82894.2072765039. The cubic root of 6871449600 is about 1901.1488527485.

The spelling of 6871449600 in words is "six billion, eight hundred seventy-one million, four hundred forty-nine thousand, six hundred".