6984664896 has 112 divisors (see below), whose sum is σ = 20200851648. Its totient is φ = 2112307200.

The previous prime is 6984664891. The next prime is 6984664903.

6984664896 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6984664891) 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, 1139536 + ... + 1145648.

Almost surely, 2^6984664896 is an apocalyptic number.

6984664896 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6984664896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10100425824).

6984664896 is an abundant number, since it is smaller than the sum of its proper divisors (13216186752).

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

6984664896 is a wasteful number, since it uses less digits than its factorization.

6984664896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6680 (or 6670 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 66.

The square root of 6984664896 is about 83574.3076309939. The cubic root of 6984664896 is about 1911.5332567523.

The spelling of 6984664896 in words is "six billion, nine hundred eighty-four million, six hundred sixty-four thousand, eight hundred ninety-six".