6998793984 has 360 divisors, whose sum is σ = 25692017120. Its totient is φ = 1845338112.

The previous prime is 6998793961. The next prime is 6998794007. The reversal of 6998793984 is 4893978996.

It is an interprime number because it is at equal distance from previous prime (6998793961) and next prime (6998794007).

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1885122 + ... + 1888830.

Almost surely, 2^6998793984 is an apocalyptic number.

6998793984 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 6998793984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12846008560).

6998793984 is an abundant number, since it is smaller than the sum of its proper divisors (18693223136).

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

6998793984 is a wasteful number, since it uses less digits than its factorization.

6998793984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3757 (or 3734 counting only the distinct ones).

The product of its digits is 211631616, while the sum is 72.

The square root of 6998793984 is about 83658.7950188144. The cubic root of 6998793984 is about 1912.8213181002.

The spelling of 6998793984 in words is "six billion, nine hundred ninety-eight million, seven hundred ninety-three thousand, nine hundred eighty-four".