6993681984 has 168 divisors, whose sum is σ = 20692247160. Its totient is φ = 2256740352.

The previous prime is 6993681977. The next prime is 6993681991. The reversal of 6993681984 is 4891863996.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6993681977) and next prime (6993681991).

It can be written as a sum of positive squares in 4 ways, for example, as 5323161600 + 1670520384 = 72960^2 + 40872^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4879732 + ... + 4881164.

Almost surely, 2^6993681984 is an apocalyptic number.

6993681984 is a gapful number since it is divisible by the number (64) 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 6993681984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10346123580).

6993681984 is an abundant number, since it is smaller than the sum of its proper divisors (13698565176).

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

6993681984 is a wasteful number, since it uses less digits than its factorization.

6993681984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1704 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The square root of 6993681984 is about 83628.2367624716. The cubic root of 6993681984 is about 1912.3554890680.

The spelling of 6993681984 in words is "six billion, nine hundred ninety-three million, six hundred eighty-one thousand, nine hundred eighty-four".