6980227200 has 576 divisors, whose sum is σ = 26969646600. Its totient is φ = 1712455680.

The previous prime is 6980227157. The next prime is 6980227207. The reversal of 6980227200 is 27220896.

It can be written as a sum of positive squares in 12 ways, for example, as 427000896 + 6553226304 = 20664^2 + 80952^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6980227207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25948666 + ... + 25948934.

Almost surely, 2^6980227200 is an apocalyptic number.

6980227200 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 6980227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13484823300).

6980227200 is an abundant number, since it is smaller than the sum of its proper divisors (19989419400).

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

6980227200 is a wasteful number, since it uses less digits than its factorization.

6980227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6980227200 is about 83547.7540093090. The cubic root of 6980227200 is about 1911.1283410902.

The spelling of 6980227200 in words is "six billion, nine hundred eighty million, two hundred twenty-seven thousand, two hundred".