16479805440 has 896 divisors, whose sum is σ = 67943577600. Its totient is φ = 3391094784.

The previous prime is 16479805403. The next prime is 16479805453. The reversal of 16479805440 is 4450897461.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 16479805440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 716513269 + ... + 716513291.

Almost surely, 2^16479805440 is an apocalyptic number.

16479805440 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 16479805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33971788800).

16479805440 is an abundant number, since it is smaller than the sum of its proper divisors (51463772160).

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

16479805440 is an equidigital number, since it uses as much as digits as its factorization.

16479805440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 16479805440 in words is "sixteen billion, four hundred seventy-nine million, eight hundred five thousand, four hundred forty".