16727316480 has 960 divisors, whose sum is σ = 71161009920. Its totient is φ = 3678732288.

The previous prime is 16727316401. The next prime is 16727316517. The reversal of 16727316480 is 8461372761.

16727316480 is a `hidden beast` number, since 167 + 2 + 7 + 3 + 1 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 79 ways as a sum of consecutive naturals, for example, 249661407 + ... + 249661473.

It is an arithmetic number, because the mean of its divisors is an integer number (74126052).

Almost surely, 2^16727316480 is an apocalyptic number.

16727316480 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 16727316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35580504960).

16727316480 is an abundant number, since it is smaller than the sum of its proper divisors (54433693440).

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

16727316480 is an equidigital number, since it uses as much as digits as its factorization.

16727316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 16727316480 in words is "sixteen billion, seven hundred twenty-seven million, three hundred sixteen thousand, four hundred eighty".