6968824200 has 384 divisors, whose sum is σ = 26558716800. Its totient is φ = 1668418560.

The previous prime is 6968824193. The next prime is 6968824201. The reversal of 6968824200 is 24288696.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6968824201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2596059 + ... + 2598741.

It is an arithmetic number, because the mean of its divisors is an integer number (69163325).

Almost surely, 2^6968824200 is an apocalyptic number.

6968824200 is a gapful number since it is divisible by the number (60) 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 6968824200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13279358400).

6968824200 is an abundant number, since it is smaller than the sum of its proper divisors (19589892600).

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

6968824200 is a wasteful number, since it uses less digits than its factorization.

6968824200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 6968824200 is about 83479.4837070762. The cubic root of 6968824200 is about 1910.0870915945.

The spelling of 6968824200 in words is "six billion, nine hundred sixty-eight million, eight hundred twenty-four thousand, two hundred".