16682964480 has 960 divisors, whose sum is σ = 72746593920. Its totient is φ = 3439853568.

The previous prime is 16682964469. The next prime is 16682964499. The reversal of 16682964480 is 8446928661.

16682964480 is a `hidden beast` number, since 16 + 68 + 2 + 96 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153054666 + ... + 153054774.

It is an arithmetic number, because the mean of its divisors is an integer number (75777702).

Almost surely, 2^16682964480 is an apocalyptic number.

16682964480 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 16682964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36373296960).

16682964480 is an abundant number, since it is smaller than the sum of its proper divisors (56063629440).

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

16682964480 is a wasteful number, since it uses less digits than its factorization.

16682964480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 16682964480 in words is "sixteen billion, six hundred eighty-two million, nine hundred sixty-four thousand, four hundred eighty".