16407564336 has 80 divisors (see below), whose sum is σ = 48244516320. Its totient is φ = 5335787520.

The previous prime is 16407564287. The next prime is 16407564353. The reversal of 16407564336 is 63346570461.

16407564336 is a `hidden beast` number, since 16 + 40 + 7 + 564 + 3 + 36 = 666.

16407564336 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 = 16407564291 and 16407564300.

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 15 ways as a sum of consecutive naturals, for example, 445465 + ... + 480888.

It is an arithmetic number, because the mean of its divisors is an integer number (603056454).

Almost surely, 2^16407564336 is an apocalyptic number.

16407564336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16407564336 is an abundant number, since it is smaller than the sum of its proper divisors (31836951984).

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

16407564336 is a wasteful number, since it uses less digits than its factorization.

16407564336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926411 (or 926399 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 16407564336 in words is "sixteen billion, four hundred seven million, five hundred sixty-four thousand, three hundred thirty-six".