16416864760320 has 960 divisors, whose sum is σ = 59625467725824. Its totient is φ = 4328907079680.

The previous prime is 16416864760279. The next prime is 16416864760327. The reversal of 16416864760320 is 2306746861461.

16416864760320 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 6 + 8 + 6 + 4 + 7 + 603 + 20 = 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 (54).

It is not an unprimeable number, because it can be changed into a prime (16416864760327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27684425944 + ... + 27684426536.

Almost surely, 2^{16416864760320} is an apocalyptic number.

16416864760320 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 16416864760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29812733862912).

16416864760320 is an abundant number, since it is smaller than the sum of its proper divisors (43208602965504).

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

16416864760320 is an equidigital number, since it uses as much as digits as its factorization.

16416864760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 16416864760320 in words is "sixteen trillion, four hundred sixteen billion, eight hundred sixty-four million, seven hundred sixty thousand, three hundred twenty".