20345328000 has 384 divisors, whose sum is σ = 77372418240. Its totient is φ = 5105664000.

The previous prime is 20345327917. The next prime is 20345328007. The reversal of 20345328000 is 82354302.

20345328000 is a `hidden beast` number, since 20 + 34 + 532 + 80 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20345328007) 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, 2443845 + ... + 2452155.

Almost surely, 2^20345328000 is an apocalyptic number.

20345328000 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 20345328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38686209120).

20345328000 is an abundant number, since it is smaller than the sum of its proper divisors (57027090240).

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

20345328000 is a wasteful number, since it uses less digits than its factorization.

20345328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8363 (or 8338 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 20345328000 in words is "twenty billion, three hundred forty-five million, three hundred twenty-eight thousand".