6973612800 has 864 divisors, whose sum is σ = 29563107840. Its totient is φ = 1405747200.

The previous prime is 6973612783. The next prime is 6973612801. The reversal of 6973612800 is 82163796.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (6973612801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78355156 + ... + 78355244.

It is an arithmetic number, because the mean of its divisors is an integer number (34216560).

Almost surely, 2^6973612800 is an apocalyptic number.

6973612800 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 6973612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14781553920).

6973612800 is an abundant number, since it is smaller than the sum of its proper divisors (22589495040).

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

6973612800 is a wasteful number, since it uses less digits than its factorization.

6973612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 6973612800 is about 83508.1600803179. The cubic root of 6973612800 is about 1910.5244943546.

The spelling of 6973612800 in words is "six billion, nine hundred seventy-three million, six hundred twelve thousand, eight hundred".