6881882952 has 128 divisors (see below), whose sum is σ = 19861459200. Its totient is φ = 1946477568.

The previous prime is 6881882939. The next prime is 6881882977. The reversal of 6881882952 is 2592881886.

It is a junction number, because it is equal to n+sod(n) for n = 6881882892 and 6881882901.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8902438 + ... + 8903210.

It is an arithmetic number, because the mean of its divisors is an integer number (155167650).

Almost surely, 2^6881882952 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 6881882952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9930729600).

6881882952 is an abundant number, since it is smaller than the sum of its proper divisors (12979576248).

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

6881882952 is a wasteful number, since it uses less digits than its factorization.

6881882952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1251 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 57.

The square root of 6881882952 is about 82957.1151378831. The cubic root of 6881882952 is about 1902.1105772614.

The spelling of 6881882952 in words is "six billion, eight hundred eighty-one million, eight hundred eighty-two thousand, nine hundred fifty-two".