16935774336 has 384 divisors, whose sum is σ = 56338027200. Its totient is φ = 4839284736.

The previous prime is 16935774313. The next prime is 16935774337. The reversal of 16935774336 is 63347753961.

It is a happy number.

16935774336 is a `hidden beast` number, since 1 + 69 + 3 + 577 + 4 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (16935774337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15080271 + ... + 15081393.

Almost surely, 2^16935774336 is an apocalyptic number.

16935774336 is a gapful number since it is divisible by the number (16) 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 16935774336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28169013600).

16935774336 is an abundant number, since it is smaller than the sum of its proper divisors (39402252864).

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

16935774336 is a wasteful number, since it uses less digits than its factorization.

16935774336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1213 counting only the distinct ones).

The product of its digits is 8573040, while the sum is 54.

The spelling of 16935774336 in words is "sixteen billion, nine hundred thirty-five million, seven hundred seventy-four thousand, three hundred thirty-six".