16327767456000 has 8640 divisors, whose sum is σ = 88671945922560. Its totient is φ = 2926264320000.

The previous prime is 16327767455983. The next prime is 16327767456041. The reversal of 16327767456000 is 65476772361.

It is a happy number.

16327767456000 is a `hidden beast` number, since 1 + 6 + 3 + 2 + 7 + 7 + 6 + 74 + 560 + 0 + 0 = 666.

16327767456000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (8640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 526702175985 + ... + 526702176015.

It is an arithmetic number, because the mean of its divisors is an integer number (10262956704).

Almost surely, 2^{16327767456000} is an apocalyptic number.

16327767456000 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 16327767456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44335972961280).

16327767456000 is an abundant number, since it is smaller than the sum of its proper divisors (72344178466560).

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

16327767456000 is a wasteful number, since it uses less digits than its factorization.

16327767456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 16327767456000 in words is "sixteen trillion, three hundred twenty-seven billion, seven hundred sixty-seven million, four hundred fifty-six thousand".