6916168800 has 576 divisors, whose sum is σ = 26135827200. Its totient is φ = 1785991680.

The previous prime is 6916168799. The next prime is 6916168807. The reversal of 6916168800 is 88616196.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6916168807) 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, 103226367 + ... + 103226433.

It is an arithmetic number, because the mean of its divisors is an integer number (45374700).

Almost surely, 2^6916168800 is an apocalyptic number.

6916168800 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 6916168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13067913600).

6916168800 is an abundant number, since it is smaller than the sum of its proper divisors (19219658400).

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

6916168800 is an equidigital number, since it uses as much as digits as its factorization.

6916168800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 6916168800 is about 83163.5064195829. The cubic root of 6916168800 is about 1905.2641459004.

The spelling of 6916168800 in words is "six billion, nine hundred sixteen million, one hundred sixty-eight thousand, eight hundred".