16623406800 has 1080 divisors, whose sum is σ = 78957758880. Its totient is φ = 3183667200.

The previous prime is 16623406781. The next prime is 16623406801. The reversal of 16623406800 is 860432661.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16623406801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 25224871 + ... + 25225529.

It is an arithmetic number, because the mean of its divisors is an integer number (73109036).

Almost surely, 2^16623406800 is an apocalyptic number.

16623406800 is a gapful number since it is divisible by the number (10) 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 16623406800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39478879440).

16623406800 is an abundant number, since it is smaller than the sum of its proper divisors (62334352080).

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

16623406800 is a wasteful number, since it uses less digits than its factorization.

16623406800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 16623406800 in words is "sixteen billion, six hundred twenty-three million, four hundred six thousand, eight hundred".