16067731680 has 1152 divisors, whose sum is σ = 75131836416. Its totient is φ = 3019161600.

The previous prime is 16067731663. The next prime is 16067731721. The reversal of 16067731680 is 8613776061.

16067731680 is a `hidden beast` number, since 1 + 606 + 7 + 7 + 31 + 6 + 8 + 0 = 666.

16067731680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 102342162 + ... + 102342318.

It is an arithmetic number, because the mean of its divisors is an integer number (65218608).

Almost surely, 2^16067731680 is an apocalyptic number.

16067731680 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 16067731680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37565918208).

16067731680 is an abundant number, since it is smaller than the sum of its proper divisors (59064104736).

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

16067731680 is a wasteful number, since it uses less digits than its factorization.

16067731680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

It can be divided in two parts, 16067 and 731680, that added together give a palindrome (747747).

The spelling of 16067731680 in words is "sixteen billion, sixty-seven million, seven hundred thirty-one thousand, six hundred eighty".