16068713440 has 384 divisors, whose sum is σ = 45235169280. Its totient is φ = 5341593600.

The previous prime is 16068713417. The next prime is 16068713467. The reversal of 16068713440 is 4431786061.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 16068713393 and 16068713402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76154935 + ... + 76155145.

It is an arithmetic number, because the mean of its divisors is an integer number (117799920).

Almost surely, 2^16068713440 is an apocalyptic number.

16068713440 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 16068713440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22617584640).

16068713440 is an abundant number, since it is smaller than the sum of its proper divisors (29166455840).

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

16068713440 is a wasteful number, since it uses less digits than its factorization.

16068713440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 16068713440 in words is "sixteen billion, sixty-eight million, seven hundred thirteen thousand, four hundred forty".