16479067680 has 240 divisors, whose sum is σ = 59577769944. Its totient is φ = 4287098880.

The previous prime is 16479067673. The next prime is 16479067681. The reversal of 16479067680 is 8676097461.

It is a happy number.

16479067680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3149903376 + 13329164304 = 56124^2 + 115452^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 (16479067681) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 515854 + ... + 546866.

Almost surely, 2^16479067680 is an apocalyptic number.

16479067680 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 16479067680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29788884972).

16479067680 is an abundant number, since it is smaller than the sum of its proper divisors (43098702264).

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

16479067680 is a wasteful number, since it uses less digits than its factorization.

16479067680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31081 (or 31064 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 16479067680 in words is "sixteen billion, four hundred seventy-nine million, sixty-seven thousand, six hundred eighty".