16961786864 has 80 divisors (see below), whose sum is σ = 36866688000. Its totient is φ = 7492020480.

The previous prime is 16961786843. The next prime is 16961786899. The reversal of 16961786864 is 46868716961.

It is a junction number, because it is equal to n+sod(n) for n = 16961786797 and 16961786806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8484137 + ... + 8486135.

It is an arithmetic number, because the mean of its divisors is an integer number (460833600).

Almost surely, 2^16961786864 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 16961786864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18433344000).

16961786864 is an abundant number, since it is smaller than the sum of its proper divisors (19904901136).

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

16961786864 is a wasteful number, since it uses less digits than its factorization.

16961786864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3358 (or 3352 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 62.

The spelling of 16961786864 in words is "sixteen billion, nine hundred sixty-one million, seven hundred eighty-six thousand, eight hundred sixty-four".