16867772064 has 288 divisors, whose sum is σ = 57204149184. Its totient is φ = 4647075840.

The previous prime is 16867772023. The next prime is 16867772071. The reversal of 16867772064 is 46027776861.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 16867772064.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2756272 + ... + 2762384.

It is an arithmetic number, because the mean of its divisors is an integer number (198625518).

Almost surely, 2^16867772064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16867772064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28602074592).

16867772064 is an abundant number, since it is smaller than the sum of its proper divisors (40336377120).

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

16867772064 is a wasteful number, since it uses less digits than its factorization.

16867772064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6220 (or 6209 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 16867772064 in words is "sixteen billion, eight hundred sixty-seven million, seven hundred seventy-two thousand, sixty-four".