16766742085632 has 1920 divisors, whose sum is σ = 64382279270400. Its totient is φ = 4239619522560.

The previous prime is 16766742085631. The next prime is 16766742085663. The reversal of 16766742085632 is 23658024766761.

It is a happy number.

16766742085632 is a `hidden beast` number, since 1 + 6 + 7 + 6 + 67 + 4 + 2 + 0 + 8 + 563 + 2 = 666.

16766742085632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16766742085632² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 16766742085632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16766742085631) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 162783903693 + ... + 162783903795.

It is an arithmetic number, because the mean of its divisors is an integer number (33532437120).

Almost surely, 2^{16766742085632} is an apocalyptic number.

16766742085632 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 16766742085632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32191139635200).

16766742085632 is an abundant number, since it is smaller than the sum of its proper divisors (47615537184768).

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

16766742085632 is an frugal number, since it uses more digits than its factorization.

16766742085632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 16766742085632 in words is "sixteen trillion, seven hundred sixty-six billion, seven hundred forty-two million, eighty-five thousand, six hundred thirty-two".