16682177664 has 128 divisors (see below), whose sum is σ = 49380240000. Its totient is φ = 5544391680.

The previous prime is 16682177627. The next prime is 16682177689. The reversal of 16682177664 is 46677128661.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×16682177664² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 16682177664.

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, 1199229 + ... + 1213059.

It is an arithmetic number, because the mean of its divisors is an integer number (385783125).

Almost surely, 2^16682177664 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 16682177664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24690120000).

16682177664 is an abundant number, since it is smaller than the sum of its proper divisors (32698062336).

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

16682177664 is a wasteful number, since it uses less digits than its factorization.

16682177664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14203 (or 14185 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 16682177664 in words is "sixteen billion, six hundred eighty-two million, one hundred seventy-seven thousand, six hundred sixty-four".