6966220800 has 1152 divisors, whose sum is σ = 31198003200. Its totient is φ = 1327104000.

The previous prime is 6966220777. The next prime is 6966220817. The reversal of 6966220800 is 80226696.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 224716785 + ... + 224716815.

It is an arithmetic number, because the mean of its divisors is an integer number (27081600).

Almost surely, 2^6966220800 is an apocalyptic number.

6966220800 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 6966220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15599001600).

6966220800 is an abundant number, since it is smaller than the sum of its proper divisors (24231782400).

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

6966220800 is a wasteful number, since it uses less digits than its factorization.

6966220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 6966220800 is about 83463.8891976644. The cubic root of 6966220800 is about 1909.8492064098.

The spelling of 6966220800 in words is "six billion, nine hundred sixty-six million, two hundred twenty thousand, eight hundred".