20967327360 has 384 divisors, whose sum is σ = 86386737600. Its totient is φ = 4792338432.

The previous prime is 20967327343. The next prime is 20967327361. The reversal of 20967327360 is 6372376902.

20967327360 is a `hidden beast` number, since 209 + 67 + 3 + 27 + 360 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (20967327361) 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, 834339 + ... + 859101.

Almost surely, 2^20967327360 is an apocalyptic number.

20967327360 is a gapful number since it is divisible by the number (20) 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 20967327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43193368800).

20967327360 is an abundant number, since it is smaller than the sum of its proper divisors (65419410240).

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

20967327360 is a wasteful number, since it uses less digits than its factorization.

20967327360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24805 (or 24780 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 20967327360 in words is "twenty billion, nine hundred sixty-seven million, three hundred twenty-seven thousand, three hundred sixty".