6986336896 has 192 divisors, whose sum is σ = 17820142560. Its totient is φ = 2697676800.

The previous prime is 6986336891. The next prime is 6986336899.

6986336896 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (6986336891) 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 23 ways as a sum of consecutive naturals, for example, 9037566 + ... + 9038338.

Almost surely, 2^6986336896 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 6986336896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8910071280).

6986336896 is an abundant number, since it is smaller than the sum of its proper divisors (10833805664).

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

6986336896 is a wasteful number, since it uses less digits than its factorization.

6986336896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 924 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 64.

The square root of 6986336896 is about 83584.3101066223. The cubic root of 6986336896 is about 1911.6857731894.

The spelling of 6986336896 in words is "six billion, nine hundred eighty-six million, three hundred thirty-six thousand, eight hundred ninety-six".