16678656000 has 768 divisors, whose sum is σ = 65415168000. Its totient is φ = 4180377600.

The previous prime is 16678655963. The next prime is 16678656017. The reversal of 16678656000 is 65687661.

16678656000 is a `hidden beast` number, since 1 + 6 + 6 + 7 + 86 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 131327937 + ... + 131328063.

It is an arithmetic number, because the mean of its divisors is an integer number (85176000).

Almost surely, 2^16678656000 is an apocalyptic number.

16678656000 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 16678656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32707584000).

16678656000 is an abundant number, since it is smaller than the sum of its proper divisors (48736512000).

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

16678656000 is a wasteful number, since it uses less digits than its factorization.

16678656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 16678656000 in words is "sixteen billion, six hundred seventy-eight million, six hundred fifty-six thousand".