16349340672 has 440 divisors, whose sum is σ = 57780423360. Its totient is φ = 4505518080.

The previous prime is 16349340653. The next prime is 16349340743. The reversal of 16349340672 is 27604394361.

16349340672 is a `hidden beast` number, since 1 + 63 + 493 + 40 + 67 + 2 = 666.

It is a super-3 number, since 3×16349340672³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16837147 + ... + 16838117.

It is an arithmetic number, because the mean of its divisors is an integer number (131319144).

Almost surely, 2^16349340672 is an apocalyptic number.

16349340672 is a gapful number since it is divisible by the number (12) 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 16349340672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28890211680).

16349340672 is an abundant number, since it is smaller than the sum of its proper divisors (41431082688).

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

16349340672 is an equidigital number, since it uses as much as digits as its factorization.

16349340672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 16349340672 in words is "sixteen billion, three hundred forty-nine million, three hundred forty thousand, six hundred seventy-two".