16800376320 has 640 divisors, whose sum is σ = 73475297280. Its totient is φ = 3543367680.

The previous prime is 16800376301. The next prime is 16800376331. The reversal of 16800376320 is 2367300861.

It is a happy number.

16800376320 is a `hidden beast` number, since 16 + 8 + 0 + 0 + 3 + 7 + 632 + 0 = 666.

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 (36).

It is a congruent number.

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, 6288585 + ... + 6291255.

It is an arithmetic number, because the mean of its divisors is an integer number (114805152).

Almost surely, 2^16800376320 is an apocalyptic number.

16800376320 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 16800376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36737648640).

16800376320 is an abundant number, since it is smaller than the sum of its proper divisors (56674920960).

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

16800376320 is a wasteful number, since it uses less digits than its factorization.

16800376320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 16800376320 in words is "sixteen billion, eight hundred million, three hundred seventy-six thousand, three hundred twenty".