16766330660352 has 960 divisors, whose sum is σ = 62790617809920. Its totient is φ = 4182431956992.

The previous prime is 16766330660347. The next prime is 16766330660363. The reversal of 16766330660352 is 25306603366761.

16766330660352 is a `hidden beast` number, since 167 + 66 + 330 + 6 + 60 + 35 + 2 = 666.

It is a super-2 number, since 2×16766330660352² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6557030658 + ... + 6557033214.

It is an arithmetic number, because the mean of its divisors is an integer number (65406893552).

Almost surely, 2^{16766330660352} is an apocalyptic number.

16766330660352 is a gapful number since it is divisible by the number (12) 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 16766330660352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31395308904960).

16766330660352 is an abundant number, since it is smaller than the sum of its proper divisors (46024287149568).

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

16766330660352 is a wasteful number, since it uses less digits than its factorization.

16766330660352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 54.

The spelling of 16766330660352 in words is "sixteen trillion, seven hundred sixty-six billion, three hundred thirty million, six hundred sixty thousand, three hundred fifty-two".