16447864320 has 640 divisors, whose sum is σ = 61376071680. Its totient is φ = 4171530240.

The previous prime is 16447864289. The next prime is 16447864333. The reversal of 16447864320 is 2346874461.

16447864320 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 (640).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 198166999 + ... + 198167081.

It is an arithmetic number, because the mean of its divisors is an integer number (95900112).

Almost surely, 2^16447864320 is an apocalyptic number.

16447864320 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 16447864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30688035840).

16447864320 is an abundant number, since it is smaller than the sum of its proper divisors (44928207360).

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

16447864320 is an equidigital number, since it uses as much as digits as its factorization.

16447864320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 16447864320 in words is "sixteen billion, four hundred forty-seven million, eight hundred sixty-four thousand, three hundred twenty".