16363900800 has 768 divisors, whose sum is σ = 68367499200. Its totient is φ = 3786670080.

The previous prime is 16363900757. The next prime is 16363900801. The reversal of 16363900800 is 800936361.

It is a happy number.

16363900800 is a `hidden beast` number, since 16 + 3 + 639 + 0 + 0 + 8 + 0 + 0 = 666.

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 (16363900801) 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 95 ways as a sum of consecutive naturals, for example, 19093972 + ... + 19094828.

Almost surely, 2^16363900800 is an apocalyptic number.

16363900800 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 16363900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34183749600).

16363900800 is an abundant number, since it is smaller than the sum of its proper divisors (52003598400).

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

16363900800 is a wasteful number, since it uses less digits than its factorization.

16363900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 16363900800 in words is "sixteen billion, three hundred sixty-three million, nine hundred thousand, eight hundred".