16766023680 has 384 divisors, whose sum is σ = 68119833600. Its totient is φ = 3831791616.

The previous prime is 16766023669. The next prime is 16766023717. The reversal of 16766023680 is 8632066761.

16766023680 is a `hidden beast` number, since 1 + 6 + 7 + 6 + 602 + 36 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 1931029 + ... + 1939691.

It is an arithmetic number, because the mean of its divisors is an integer number (177395400).

Almost surely, 2^16766023680 is an apocalyptic number.

16766023680 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 16766023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34059916800).

16766023680 is an abundant number, since it is smaller than the sum of its proper divisors (51353809920).

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

16766023680 is an equidigital number, since it uses as much as digits as its factorization.

16766023680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8706 (or 8680 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 16766023680 in words is "sixteen billion, seven hundred sixty-six million, twenty-three thousand, six hundred eighty".