16807311664 has 320 divisors, whose sum is σ = 42765262848. Its totient is φ = 6277939200.

The previous prime is 16807311643. The next prime is 16807311701. The reversal of 16807311664 is 46611370861.

It is a self number, because there is not a number n which added to its sum of digits gives 16807311664.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63905997 + ... + 63906259.

Almost surely, 2^16807311664 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 16807311664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21382631424).

16807311664 is an abundant number, since it is smaller than the sum of its proper divisors (25957951184).

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

16807311664 is a wasteful number, since it uses less digits than its factorization.

16807311664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 16807311664 in words is "sixteen billion, eight hundred seven million, three hundred eleven thousand, six hundred sixty-four".