6871226880 has 720 divisors, whose sum is σ = 27793355040. Its totient is φ = 1439907840.

The previous prime is 6871226851. The next prime is 6871226891. The reversal of 6871226880 is 886221786.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 221652465 + ... + 221652495.

It is an arithmetic number, because the mean of its divisors is an integer number (38601882).

Almost surely, 2^6871226880 is an apocalyptic number.

6871226880 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 6871226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13896677520).

6871226880 is an abundant number, since it is smaller than the sum of its proper divisors (20922128160).

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

6871226880 is a wasteful number, since it uses less digits than its factorization.

6871226880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 6871226880 is about 82892.8638665597. The cubic root of 6871226880 is about 1901.1283122769.

The spelling of 6871226880 in words is "six billion, eight hundred seventy-one million, two hundred twenty-six thousand, eight hundred eighty".