16740642816 has 416 divisors, whose sum is σ = 54099916800. Its totient is φ = 5096079360.

The previous prime is 16740642799. The next prime is 16740642829. The reversal of 16740642816 is 61824604761.

16740642816 is a `hidden beast` number, since 167 + 406 + 4 + 2 + 81 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65138560 + ... + 65138816.

Almost surely, 2^16740642816 is an apocalyptic number.

16740642816 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 16740642816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27049958400).

16740642816 is an abundant number, since it is smaller than the sum of its proper divisors (37359273984).

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

16740642816 is a wasteful number, since it uses less digits than its factorization.

16740642816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 16740642816 in words is "sixteen billion, seven hundred forty million, six hundred forty-two thousand, eight hundred sixteen".