16368768000 has 528 divisors, whose sum is σ = 63581555856. Its totient is φ = 4025548800.

The previous prime is 16368767993. The next prime is 16368768001. The reversal of 16368768000 is 86786361.

16368768000 is a `hidden beast` number, since 1 + 636 + 8 + 7 + 6 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3339915264 + 13028852736 = 57792^2 + 114144^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16368768001) 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, 14975454 + ... + 14976546.

Almost surely, 2^16368768000 is an apocalyptic number.

16368768000 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 16368768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31790777928).

16368768000 is an abundant number, since it is smaller than the sum of its proper divisors (47212787856).

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

16368768000 is a wasteful number, since it uses less digits than its factorization.

16368768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 16368768000 in words is "sixteen billion, three hundred sixty-eight million, seven hundred sixty-eight thousand".