6885142656 has 256 divisors, whose sum is σ = 21996748800. Its totient is φ = 1866608640.

The previous prime is 6885142643. The next prime is 6885142673. The reversal of 6885142656 is 6562415886.

It is a junction number, because it is equal to n+sod(n) for n = 6885142599 and 6885142608.

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 31 ways as a sum of consecutive naturals, for example, 4415605 + ... + 4417163.

It is an arithmetic number, because the mean of its divisors is an integer number (85924800).

Almost surely, 2^6885142656 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 6885142656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10998374400).

6885142656 is an abundant number, since it is smaller than the sum of its proper divisors (15111606144).

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

6885142656 is a wasteful number, since it uses less digits than its factorization.

6885142656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1655 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 51.

The square root of 6885142656 is about 82976.7597342774. The cubic root of 6885142656 is about 1902.4108506411.

The spelling of 6885142656 in words is "six billion, eight hundred eighty-five million, one hundred forty-two thousand, six hundred fifty-six".