6973568800 has 216 divisors, whose sum is σ = 19035445716. Its totient is φ = 2492160000.

The previous prime is 6973568773. The next prime is 6973568801. The reversal of 6973568800 is 88653796.

6973568800 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 6 ways, for example, as 2146654224 + 4826914576 = 46332^2 + 69476^2 .

It is not an unprimeable number, because it can be changed into a prime (6973568801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5904210 + ... + 5905390.

Almost surely, 2^6973568800 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 6973568800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9517722858).

6973568800 is an abundant number, since it is smaller than the sum of its proper divisors (12061876916).

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

6973568800 is a wasteful number, since it uses less digits than its factorization.

6973568800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The square root of 6973568800 is about 83507.8966325940. The cubic root of 6973568800 is about 1910.5204761956.

The spelling of 6973568800 in words is "six billion, nine hundred seventy-three million, five hundred sixty-eight thousand, eight hundred".