16365847680 has 384 divisors, whose sum is σ = 69557080320. Its totient is φ = 3452903424.

The previous prime is 16365847679. The next prime is 16365847699. The reversal of 16365847680 is 8674856361.

16365847680 is a `hidden beast` number, since 16 + 36 + 58 + 476 + 80 = 666.

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

It is a super-3 number, since 3×16365847680³ (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 47 ways as a sum of consecutive naturals, for example, 508549 + ... + 539771.

It is an arithmetic number, because the mean of its divisors is an integer number (181138230).

Almost surely, 2^16365847680 is an apocalyptic number.

16365847680 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 16365847680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34778540160).

16365847680 is an abundant number, since it is smaller than the sum of its proper divisors (53191232640).

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

16365847680 is a wasteful number, since it uses less digits than its factorization.

16365847680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31268 (or 31253 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 16365847680 in words is "sixteen billion, three hundred sixty-five million, eight hundred forty-seven thousand, six hundred eighty".