16730932216320 has 800 divisors, whose sum is σ = 68946140736000. Its totient is φ = 3798498115584.

The previous prime is 16730932216309. The next prime is 16730932216351. The reversal of 16730932216320 is 2361223903761.

16730932216320 is a `hidden beast` number, since 1 + 6 + 7 + 3 + 0 + 9 + 3 + 2 + 2 + 1 + 632 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 216237801 + ... + 216315159.

It is an arithmetic number, because the mean of its divisors is an integer number (86182675920).

Almost surely, 2^{16730932216320} is an apocalyptic number.

16730932216320 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 16730932216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34473070368000).

16730932216320 is an abundant number, since it is smaller than the sum of its proper divisors (52215208519680).

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

16730932216320 is an equidigital number, since it uses as much as digits as its factorization.

16730932216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77550 (or 77525 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 16730932216320 in words is "sixteen trillion, seven hundred thirty billion, nine hundred thirty-two million, two hundred sixteen thousand, three hundred twenty".