16300634240 has 128 divisors (see below), whose sum is σ = 42567880320. Its totient is φ = 5919621120.

The previous prime is 16300634213. The next prime is 16300634269. The reversal of 16300634240 is 4243600361.

16300634240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9172232 + ... + 9174008.

It is an arithmetic number, because the mean of its divisors is an integer number (332561565).

Almost surely, 2^16300634240 is an apocalyptic number.

16300634240 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 16300634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21283940160).

16300634240 is an abundant number, since it is smaller than the sum of its proper divisors (26267246080).

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

16300634240 is a wasteful number, since it uses less digits than its factorization.

16300634240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110 (or 3098 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The spelling of 16300634240 in words is "sixteen billion, three hundred million, six hundred thirty-four thousand, two hundred forty".