6871200000 has 432 divisors, whose sum is σ = 26187073920. Its totient is φ = 1566720000.

The previous prime is 6871199981. The next prime is 6871200001. The reversal of 6871200000 is 21786.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (6871200001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16799796 + ... + 16800204.

Almost surely, 2^6871200000 is an apocalyptic number.

6871200000 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 6871200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13093536960).

6871200000 is an abundant number, since it is smaller than the sum of its proper divisors (19315873920).

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

6871200000 is an frugal number, since it uses more digits than its factorization.

6871200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 6871200000 is about 82892.7017294044. The cubic root of 6871200000 is about 1901.1258332244.

Adding to 6871200000 its reverse (21786), we get a palindrome (6871221786).

The spelling of 6871200000 in words is "six billion, eight hundred seventy-one million, two hundred thousand".