16634642200 has 96 divisors (see below), whose sum is σ = 42223368960. Its totient is φ = 6044393600.

The previous prime is 16634642161. The next prime is 16634642201. The reversal of 16634642200 is 224643661.

It is a super-2 number, since 2×16634642200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16634642201) 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 23 ways as a sum of consecutive naturals, for example, 4589589 + ... + 4593211.

It is an arithmetic number, because the mean of its divisors is an integer number (439826760).

Almost surely, 2^16634642200 is an apocalyptic number.

16634642200 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 16634642200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21111684480).

16634642200 is an abundant number, since it is smaller than the sum of its proper divisors (25588726760).

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

16634642200 is a wasteful number, since it uses less digits than its factorization.

16634642200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5737 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 16634642200 in words is "sixteen billion, six hundred thirty-four million, six hundred forty-two thousand, two hundred".