16738705920 has 640 divisors, whose sum is σ = 60138650880. Its totient is φ = 3953131520.

The previous prime is 16738705897. The next prime is 16738705931. The reversal of 16738705920 is 2950783761.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 16738705920.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 283706851 + ... + 283706909.

It is an arithmetic number, because the mean of its divisors is an integer number (93966642).

Almost surely, 2^16738705920 is an apocalyptic number.

16738705920 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 16738705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30069325440).

16738705920 is an abundant number, since it is smaller than the sum of its proper divisors (43399944960).

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

16738705920 is a wasteful number, since it uses less digits than its factorization.

16738705920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 16738705920 in words is "sixteen billion, seven hundred thirty-eight million, seven hundred five thousand, nine hundred twenty".