16634730240 has 252 divisors, whose sum is σ = 59744088264. Its totient is φ = 4435679232.

The previous prime is 16634730227. The next prime is 16634730323. The reversal of 16634730240 is 4203743661.

It is a happy number.

16634730240 is a `hidden beast` number, since 1 + 6 + 6 + 347 + 302 + 4 + 0 = 666.

16634730240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 16634730195 and 16634730204.

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 924207 + ... + 942033.

Almost surely, 2^16634730240 is an apocalyptic number.

16634730240 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 16634730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29872044132).

16634730240 is an abundant number, since it is smaller than the sum of its proper divisors (43109358024).

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

16634730240 is an frugal number, since it uses more digits than its factorization.

16634730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17866 (or 17837 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 16634730240 in words is "sixteen billion, six hundred thirty-four million, seven hundred thirty thousand, two hundred forty".