16428479760 has 960 divisors, whose sum is σ = 72498216960. Its totient is φ = 3261772800.

The previous prime is 16428479723. The next prime is 16428479761. The reversal of 16428479760 is 6797482461.

16428479760 is a `hidden beast` number, since 164 + 2 + 8 + 479 + 7 + 6 + 0 = 666.

16428479760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 16428479697 and 16428479706.

It is not an unprimeable number, because it can be changed into a prime (16428479761) 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 191 ways as a sum of consecutive naturals, for example, 207955401 + ... + 207955479.

It is an arithmetic number, because the mean of its divisors is an integer number (75518976).

Almost surely, 2^16428479760 is an apocalyptic number.

16428479760 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 16428479760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36249108480).

16428479760 is an abundant number, since it is smaller than the sum of its proper divisors (56069737200).

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

16428479760 is a wasteful number, since it uses less digits than its factorization.

16428479760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 16428479760 in words is "sixteen billion, four hundred twenty-eight million, four hundred seventy-nine thousand, seven hundred sixty".