6998829936 has 160 divisors (see below), whose sum is σ = 21355776000. Its totient is φ = 1973986560.

The previous prime is 6998829931. The next prime is 6998829947. The reversal of 6998829936 is 6399288996.

It is a super-3 number, since 3×6998829936³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6998829931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1297966 + ... + 1303346.

It is an arithmetic number, because the mean of its divisors is an integer number (133473600).

Almost surely, 2^6998829936 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 6998829936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10677888000).

6998829936 is an abundant number, since it is smaller than the sum of its proper divisors (14356946064).

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

6998829936 is a wasteful number, since it uses less digits than its factorization.

6998829936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5492 (or 5472 counting only the distinct ones).

The product of its digits is 90699264, while the sum is 69.

The square root of 6998829936 is about 83659.0098913440. The cubic root of 6998829936 is about 1912.8245934089.

The spelling of 6998829936 in words is "six billion, nine hundred ninety-eight million, eight hundred twenty-nine thousand, nine hundred thirty-six".