6982992896 has 88 divisors (see below), whose sum is σ = 16124399136. Its totient is φ = 2987294720.

The previous prime is 6982992889. The next prime is 6982992931.

6982992896 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (68).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173255 + ... + 209721.

Almost surely, 2^6982992896 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 6982992896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8062199568).

6982992896 is an abundant number, since it is smaller than the sum of its proper divisors (9141406240).

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

6982992896 is a wasteful number, since it uses less digits than its factorization.

6982992896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36515 (or 36497 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 68.

The square root of 6982992896 is about 83564.3039580897. The cubic root of 6982992896 is about 1911.3807159736.

The spelling of 6982992896 in words is "six billion, nine hundred eighty-two million, nine hundred ninety-two thousand, eight hundred ninety-six".