16208440768 has 224 divisors, whose sum is σ = 37851770880. Its totient is φ = 6824632320.

The previous prime is 16208440733. The next prime is 16208440783. The reversal of 16208440768 is 86704480261.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52796071 + ... + 52796377.

It is an arithmetic number, because the mean of its divisors is an integer number (168981120).

Almost surely, 2^16208440768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16208440768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18925885440).

16208440768 is an abundant number, since it is smaller than the sum of its proper divisors (21643330112).

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

16208440768 is a wasteful number, since it uses less digits than its factorization.

16208440768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

It can be divided in two parts, 16208 and 440768, that added together give a 4-th power (456976 = 26⁴).

The spelling of 16208440768 in words is "sixteen billion, two hundred eight million, four hundred forty thousand, seven hundred sixty-eight".