6986287248 has 80 divisors (see below), whose sum is σ = 18375419136. Its totient is φ = 2286725760.

The previous prime is 6986287219. The next prime is 6986287249. The reversal of 6986287248 is 8427826896.

It is a junction number, because it is equal to n+sod(n) for n = 6986287191 and 6986287200.

It is not an unprimeable number, because it can be changed into a prime (6986287249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1061215 + ... + 1067777.

Almost surely, 2^6986287248 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 6986287248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9187709568).

6986287248 is an abundant number, since it is smaller than the sum of its proper divisors (11389131888).

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

6986287248 is a wasteful number, since it uses less digits than its factorization.

6986287248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6972 (or 6966 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 60.

The square root of 6986287248 is about 83584.0131125564. The cubic root of 6986287248 is about 1911.6812447504.

The spelling of 6986287248 in words is "six billion, nine hundred eighty-six million, two hundred eighty-seven thousand, two hundred forty-eight".