16816976640 has 432 divisors, whose sum is σ = 63071936928. Its totient is φ = 4120510464.

The previous prime is 16816976633. The next prime is 16816976753. The reversal of 16816976640 is 4667961861.

It is a happy number.

16816976640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×16816976640³ (a number of 32 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 8420122 + ... + 8422118.

It is an arithmetic number, because the mean of its divisors is an integer number (145999854).

Almost surely, 2^16816976640 is an apocalyptic number.

16816976640 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 16816976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31535968464).

16816976640 is an abundant number, since it is smaller than the sum of its proper divisors (46254960288).

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

16816976640 is a wasteful number, since it uses less digits than its factorization.

16816976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 16816976640 in words is "sixteen billion, eight hundred sixteen million, nine hundred seventy-six thousand, six hundred forty".