16683791040 has 336 divisors, whose sum is σ = 65731461120. Its totient is φ = 3804825600.

The previous prime is 16683791029. The next prime is 16683791057. The reversal of 16683791040 is 4019738661.

It is a happy number.

16683791040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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

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 47 ways as a sum of consecutive naturals, for example, 14494465 + ... + 14495615.

Almost surely, 2^16683791040 is an apocalyptic number.

16683791040 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 16683791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32865730560).

16683791040 is an abundant number, since it is smaller than the sum of its proper divisors (49047670080).

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

16683791040 is a wasteful number, since it uses less digits than its factorization.

16683791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 16683791040 in words is "sixteen billion, six hundred eighty-three million, seven hundred ninety-one thousand, forty".